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Finding the Fourth Proportional to 129.40, 178.60 and 85.76

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Solution

The fourth proportional to 129.40, 178.60 and 85.76 is: 118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 178.60 = 85.76 : x
  2. Step 2: Convert to fraction form
    129.40/178.60 = 85.76/x
  3. Step 3: Cross multiply
    129.40x = 178.60 × 85.76
  4. Step 4: Simplify right side
    129.40x = 15,316.74
  5. Step 5: Solve for x
    x = 15,316.74/129.40
  6. Step 6: Final answer
    x = 118.37

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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.