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Finding the Fourth Proportional to 72.24, 108.32 and 24.14

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Solution

The fourth proportional to 72.24, 108.32 and 24.14 is: 36.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.24 : 108.32 = 24.14 : x
  2. Step 2: Convert to fraction form
    72.24/108.32 = 24.14/x
  3. Step 3: Cross multiply
    72.24x = 108.32 × 24.14
  4. Step 4: Simplify right side
    72.24x = 2,614.84
  5. Step 5: Solve for x
    x = 2,614.84/72.24
  6. Step 6: Final answer
    x = 36.20

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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.