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Finding the Fourth Proportional to 65.12, 97.15 and 62.78

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Solution

The fourth proportional to 65.12, 97.15 and 62.78 is: 93.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 97.15 = 62.78 : x
  2. Step 2: Convert to fraction form
    65.12/97.15 = 62.78/x
  3. Step 3: Cross multiply
    65.12x = 97.15 × 62.78
  4. Step 4: Simplify right side
    65.12x = 6,099.08
  5. Step 5: Solve for x
    x = 6,099.08/65.12
  6. Step 6: Final answer
    x = 93.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.