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Finding the Fourth Proportional to 90.33, 135.31 and 75.14

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Solution

The fourth proportional to 90.33, 135.31 and 75.14 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.33 : 135.31 = 75.14 : x
  2. Step 2: Convert to fraction form
    90.33/135.31 = 75.14/x
  3. Step 3: Cross multiply
    90.33x = 135.31 × 75.14
  4. Step 4: Simplify right side
    90.33x = 10,167.19
  5. Step 5: Solve for x
    x = 10,167.19/90.33
  6. Step 6: Final answer
    x = 112.56

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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.