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Finding the Fourth Proportional to 90.86, 135.86 and 77.52

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Solution

The fourth proportional to 90.86, 135.86 and 77.52 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 135.86 = 77.52 : x
  2. Step 2: Convert to fraction form
    90.86/135.86 = 77.52/x
  3. Step 3: Cross multiply
    90.86x = 135.86 × 77.52
  4. Step 4: Simplify right side
    90.86x = 10,531.87
  5. Step 5: Solve for x
    x = 10,531.87/90.86
  6. Step 6: Final answer
    x = 115.91

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