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Finding the Fourth Proportional to 84.53, 115.98 and 81.29

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Solution

The fourth proportional to 84.53, 115.98 and 81.29 is: 111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.53 : 115.98 = 81.29 : x
  2. Step 2: Convert to fraction form
    84.53/115.98 = 81.29/x
  3. Step 3: Cross multiply
    84.53x = 115.98 × 81.29
  4. Step 4: Simplify right side
    84.53x = 9,428.01
  5. Step 5: Solve for x
    x = 9,428.01/84.53
  6. Step 6: Final answer
    x = 111.53

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Why These Related Problems?

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