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Finding the Fourth Proportional to 129.48, 178.66 and 77.05

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Solution

The fourth proportional to 129.48, 178.66 and 77.05 is: 106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.48 : 178.66 = 77.05 : x
  2. Step 2: Convert to fraction form
    129.48/178.66 = 77.05/x
  3. Step 3: Cross multiply
    129.48x = 178.66 × 77.05
  4. Step 4: Simplify right side
    129.48x = 13,765.11
  5. Step 5: Solve for x
    x = 13,765.11/129.48
  6. Step 6: Final answer
    x = 106.31

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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.