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Finding the Fourth Proportional to 84.02, 125.40 and 74.89

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Solution

The fourth proportional to 84.02, 125.40 and 74.89 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 125.40 = 74.89 : x
  2. Step 2: Convert to fraction form
    84.02/125.40 = 74.89/x
  3. Step 3: Cross multiply
    84.02x = 125.40 × 74.89
  4. Step 4: Simplify right side
    84.02x = 9,390.20
  5. Step 5: Solve for x
    x = 9,390.20/84.02
  6. Step 6: Final answer
    x = 111.76

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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.