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Finding the Fourth Proportional to 91.96, 136.85 and 91.40

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Solution

The fourth proportional to 91.96, 136.85 and 91.40 is: 136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 136.85 = 91.40 : x
  2. Step 2: Convert to fraction form
    91.96/136.85 = 91.40/x
  3. Step 3: Cross multiply
    91.96x = 136.85 × 91.40
  4. Step 4: Simplify right side
    91.96x = 12,508.09
  5. Step 5: Solve for x
    x = 12,508.09/91.96
  6. Step 6: Final answer
    x = 136.02

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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.