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Finding the Fourth Proportional to 24.72, 37.08 and 14.64

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Solution

The fourth proportional to 24.72, 37.08 and 14.64 is: 21.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.72 : 37.08 = 14.64 : x
  2. Step 2: Convert to fraction form
    24.72/37.08 = 14.64/x
  3. Step 3: Cross multiply
    24.72x = 37.08 × 14.64
  4. Step 4: Simplify right side
    24.72x = 542.69
  5. Step 5: Solve for x
    x = 542.69/24.72
  6. Step 6: Final answer
    x = 21.96

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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.