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Finding the Fourth Proportional to 91.13, 136.53 and 64.10

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Solution

The fourth proportional to 91.13, 136.53 and 64.10 is: 96.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 136.53 = 64.10 : x
  2. Step 2: Convert to fraction form
    91.13/136.53 = 64.10/x
  3. Step 3: Cross multiply
    91.13x = 136.53 × 64.10
  4. Step 4: Simplify right side
    91.13x = 8,750.89
  5. Step 5: Solve for x
    x = 8,750.89/91.13
  6. Step 6: Final answer
    x = 96.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.