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Finding the Fourth Proportional to 91.38, 136.77 and 76.20

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Solution

The fourth proportional to 91.38, 136.77 and 76.20 is: 114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.38 : 136.77 = 76.20 : x
  2. Step 2: Convert to fraction form
    91.38/136.77 = 76.20/x
  3. Step 3: Cross multiply
    91.38x = 136.77 × 76.20
  4. Step 4: Simplify right side
    91.38x = 10,421.87
  5. Step 5: Solve for x
    x = 10,421.87/91.38
  6. Step 6: Final answer
    x = 114.05

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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.