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Finding the Fourth Proportional to 97.42, 134.52 and 60.64

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Solution

The fourth proportional to 97.42, 134.52 and 60.64 is: 83.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 134.52 = 60.64 : x
  2. Step 2: Convert to fraction form
    97.42/134.52 = 60.64/x
  3. Step 3: Cross multiply
    97.42x = 134.52 × 60.64
  4. Step 4: Simplify right side
    97.42x = 8,157.29
  5. Step 5: Solve for x
    x = 8,157.29/97.42
  6. Step 6: Final answer
    x = 83.73

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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.