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Finding the Fourth Proportional to 84.90, 126.25 and 84

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Solution

The fourth proportional to 84.90, 126.25 and 84 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 126.25 = 84 : x
  2. Step 2: Convert to fraction form
    84.90/126.25 = 84/x
  3. Step 3: Cross multiply
    84.90x = 126.25 × 84
  4. Step 4: Simplify right side
    84.90x = 10,605
  5. Step 5: Solve for x
    x = 10,605/84.90
  6. Step 6: Final answer
    x = 124.91

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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.