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Finding the Fourth Proportional to 64.71, 97.07 and 24.13

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Solution

The fourth proportional to 64.71, 97.07 and 24.13 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 97.07 = 24.13 : x
  2. Step 2: Convert to fraction form
    64.71/97.07 = 24.13/x
  3. Step 3: Cross multiply
    64.71x = 97.07 × 24.13
  4. Step 4: Simplify right side
    64.71x = 2,341.94
  5. Step 5: Solve for x
    x = 2,341.94/64.71
  6. Step 6: Final answer
    x = 36.19

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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.