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Finding the Fourth Proportional to 84.87, 126.54 and 81.90

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Solution

The fourth proportional to 84.87, 126.54 and 81.90 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.87 : 126.54 = 81.90 : x
  2. Step 2: Convert to fraction form
    84.87/126.54 = 81.90/x
  3. Step 3: Cross multiply
    84.87x = 126.54 × 81.90
  4. Step 4: Simplify right side
    84.87x = 10,363.63
  5. Step 5: Solve for x
    x = 10,363.63/84.87
  6. Step 6: Final answer
    x = 122.11

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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.