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Finding the Fourth Proportional to 67.60, 92.54 and 65.53

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Solution

The fourth proportional to 67.60, 92.54 and 65.53 is: 89.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.60 : 92.54 = 65.53 : x
  2. Step 2: Convert to fraction form
    67.60/92.54 = 65.53/x
  3. Step 3: Cross multiply
    67.60x = 92.54 × 65.53
  4. Step 4: Simplify right side
    67.60x = 6,064.15
  5. Step 5: Solve for x
    x = 6,064.15/67.60
  6. Step 6: Final answer
    x = 89.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.