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Finding the Fourth Proportional to 65.32, 97.97 and 24.74

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Solution

The fourth proportional to 65.32, 97.97 and 24.74 is: 37.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 97.97 = 24.74 : x
  2. Step 2: Convert to fraction form
    65.32/97.97 = 24.74/x
  3. Step 3: Cross multiply
    65.32x = 97.97 × 24.74
  4. Step 4: Simplify right side
    65.32x = 2,423.78
  5. Step 5: Solve for x
    x = 2,423.78/65.32
  6. Step 6: Final answer
    x = 37.11

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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.