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Finding the Fourth Proportional to 129.89, 179.18 and 77.40

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Solution

The fourth proportional to 129.89, 179.18 and 77.40 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.89 : 179.18 = 77.40 : x
  2. Step 2: Convert to fraction form
    129.89/179.18 = 77.40/x
  3. Step 3: Cross multiply
    129.89x = 179.18 × 77.40
  4. Step 4: Simplify right side
    129.89x = 13,868.53
  5. Step 5: Solve for x
    x = 13,868.53/129.89
  6. Step 6: Final answer
    x = 106.78

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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.