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Finding the Fourth Proportional to 103.20, 142.11 and 74.04

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Solution

The fourth proportional to 103.20, 142.11 and 74.04 is: 101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 142.11 = 74.04 : x
  2. Step 2: Convert to fraction form
    103.20/142.11 = 74.04/x
  3. Step 3: Cross multiply
    103.20x = 142.11 × 74.04
  4. Step 4: Simplify right side
    103.20x = 10,521.82
  5. Step 5: Solve for x
    x = 10,521.82/103.20
  6. Step 6: Final answer
    x = 101.96

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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.