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Finding the Fourth Proportional to 27.07, 40.53 and 16.24

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Solution

The fourth proportional to 27.07, 40.53 and 16.24 is: 24.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.07 : 40.53 = 16.24 : x
  2. Step 2: Convert to fraction form
    27.07/40.53 = 16.24/x
  3. Step 3: Cross multiply
    27.07x = 40.53 × 16.24
  4. Step 4: Simplify right side
    27.07x = 658.21
  5. Step 5: Solve for x
    x = 658.21/27.07
  6. Step 6: Final answer
    x = 24.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.