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Finding the Fourth Proportional to 90.84, 124.71 and 82.20

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Solution

The fourth proportional to 90.84, 124.71 and 82.20 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.84 : 124.71 = 82.20 : x
  2. Step 2: Convert to fraction form
    90.84/124.71 = 82.20/x
  3. Step 3: Cross multiply
    90.84x = 124.71 × 82.20
  4. Step 4: Simplify right side
    90.84x = 10,251.16
  5. Step 5: Solve for x
    x = 10,251.16/90.84
  6. Step 6: Final answer
    x = 112.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.