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Finding the Fourth Proportional to 102.96, 142.11 and 77.04

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Solution

The fourth proportional to 102.96, 142.11 and 77.04 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 142.11 = 77.04 : x
  2. Step 2: Convert to fraction form
    102.96/142.11 = 77.04/x
  3. Step 3: Cross multiply
    102.96x = 142.11 × 77.04
  4. Step 4: Simplify right side
    102.96x = 10,948.15
  5. Step 5: Solve for x
    x = 10,948.15/102.96
  6. Step 6: Final answer
    x = 106.33

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Why These Related Problems?

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