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Finding the Fourth Proportional to 97.42, 134.38 and 64.68

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Solution

The fourth proportional to 97.42, 134.38 and 64.68 is: 89.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 134.38 = 64.68 : x
  2. Step 2: Convert to fraction form
    97.42/134.38 = 64.68/x
  3. Step 3: Cross multiply
    97.42x = 134.38 × 64.68
  4. Step 4: Simplify right side
    97.42x = 8,691.70
  5. Step 5: Solve for x
    x = 8,691.70/97.42
  6. Step 6: Final answer
    x = 89.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.