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Finding the Fourth Proportional to 91.32, 137.04 and 77.05

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Solution

The fourth proportional to 91.32, 137.04 and 77.05 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 137.04 = 77.05 : x
  2. Step 2: Convert to fraction form
    91.32/137.04 = 77.05/x
  3. Step 3: Cross multiply
    91.32x = 137.04 × 77.05
  4. Step 4: Simplify right side
    91.32x = 10,557.86
  5. Step 5: Solve for x
    x = 10,557.86/91.32
  6. Step 6: Final answer
    x = 115.61

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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.