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Finding the Fourth Proportional to 84.02, 115.76 and 81.50

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Solution

The fourth proportional to 84.02, 115.76 and 81.50 is: 112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 115.76 = 81.50 : x
  2. Step 2: Convert to fraction form
    84.02/115.76 = 81.50/x
  3. Step 3: Cross multiply
    84.02x = 115.76 × 81.50
  4. Step 4: Simplify right side
    84.02x = 9,434.44
  5. Step 5: Solve for x
    x = 9,434.44/84.02
  6. Step 6: Final answer
    x = 112.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.