Ratio and Proportion: Unraveling the Mystery
In this article, we will delve into the world of ratios and proportions, exploring a seemingly complex problem that requires a deep understanding of mathematical concepts.
The Problem Statement
The problem states: "0.24 is to 0.08 as 0.54 is to what percentage?"
At first glance, this problem may appear daunting, but fear not, dear reader, for we shall break it down step by step and uncover the solution.
Understanding Ratios and Proportions
A ratio is a comparison of two quantities, often expressed as a fraction. For instance, 0.24 : 0.08 is a ratio. A proportion, on the other hand, is an equation stating that two ratios are equal.
Let's Break Down the Problem
Let's analyze the given information:
- 0.24 is to 0.08 (this is our first ratio)
- 0.54 is to x (this is our second ratio, where x is the unknown percentage)
We know that the two ratios are equal, making this a proportion problem.
Finding the Solution
To solve this problem, we can set up a proportion equation:
0.24 / 0.08 = 0.54 / x
To find the value of x, we can cross-multiply:
0.24x = 0.08 * 0.54
Simplifying the equation, we get:
0.24x = 0.0432
Now, divide both sides by 0.24:
x = 0.0432 / 0.24
x ≈ 0.18
To convert this value to a percentage, multiply by 100:
x ≈ 18%
The Final Answer
Therefore, 0.24 is to 0.08 as 0.54 is to 18%.
In conclusion, by applying our knowledge of ratios and proportions, we have successfully solved the problem and uncovered the hidden percentage.
