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Finding the Fourth Proportional to 84.89, 127.22 and 74.76

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Solution

The fourth proportional to 84.89, 127.22 and 74.76 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.89 : 127.22 = 74.76 : x
  2. Step 2: Convert to fraction form
    84.89/127.22 = 74.76/x
  3. Step 3: Cross multiply
    84.89x = 127.22 × 74.76
  4. Step 4: Simplify right side
    84.89x = 9,510.59
  5. Step 5: Solve for x
    x = 9,510.59/84.89
  6. Step 6: Final answer
    x = 112.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.