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Finding the Fourth Proportional to 90.75, 135.31 and 89.13

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Solution

The fourth proportional to 90.75, 135.31 and 89.13 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 135.31 = 89.13 : x
  2. Step 2: Convert to fraction form
    90.75/135.31 = 89.13/x
  3. Step 3: Cross multiply
    90.75x = 135.31 × 89.13
  4. Step 4: Simplify right side
    90.75x = 12,060.18
  5. Step 5: Solve for x
    x = 12,060.18/90.75
  6. Step 6: Final answer
    x = 132.89

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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.