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Finding the Fourth Proportional to 90.32, 136.18 and 82.76

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Solution

The fourth proportional to 90.32, 136.18 and 82.76 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.32 : 136.18 = 82.76 : x
  2. Step 2: Convert to fraction form
    90.32/136.18 = 82.76/x
  3. Step 3: Cross multiply
    90.32x = 136.18 × 82.76
  4. Step 4: Simplify right side
    90.32x = 11,269.68
  5. Step 5: Solve for x
    x = 11,269.68/90.32
  6. Step 6: Final answer
    x = 124.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.