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Finding the Fourth Proportional to 91.60, 136.68 and 89.53

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Solution

The fourth proportional to 91.60, 136.68 and 89.53 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.60 : 136.68 = 89.53 : x
  2. Step 2: Convert to fraction form
    91.60/136.68 = 89.53/x
  3. Step 3: Cross multiply
    91.60x = 136.68 × 89.53
  4. Step 4: Simplify right side
    91.60x = 12,236.96
  5. Step 5: Solve for x
    x = 12,236.96/91.60
  6. Step 6: Final answer
    x = 133.59

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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.