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Finding the Fourth Proportional to 64.76, 97.14 and 24.18

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Solution

The fourth proportional to 64.76, 97.14 and 24.18 is: 36.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 97.14 = 24.18 : x
  2. Step 2: Convert to fraction form
    64.76/97.14 = 24.18/x
  3. Step 3: Cross multiply
    64.76x = 97.14 × 24.18
  4. Step 4: Simplify right side
    64.76x = 2,348.85
  5. Step 5: Solve for x
    x = 2,348.85/64.76
  6. Step 6: Final answer
    x = 36.27

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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.