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Finding the Fourth Proportional to 90.32, 134.89 and 74.82

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Solution

The fourth proportional to 90.32, 134.89 and 74.82 is: 111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.32 : 134.89 = 74.82 : x
  2. Step 2: Convert to fraction form
    90.32/134.89 = 74.82/x
  3. Step 3: Cross multiply
    90.32x = 134.89 × 74.82
  4. Step 4: Simplify right side
    90.32x = 10,093.00
  5. Step 5: Solve for x
    x = 10,093.00/90.32
  6. Step 6: Final answer
    x = 111.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.