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Finding the Fourth Proportional to 129.64, 178.86 and 77.86

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Solution

The fourth proportional to 129.64, 178.86 and 77.86 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.64 : 178.86 = 77.86 : x
  2. Step 2: Convert to fraction form
    129.64/178.86 = 77.86/x
  3. Step 3: Cross multiply
    129.64x = 178.86 × 77.86
  4. Step 4: Simplify right side
    129.64x = 13,926.04
  5. Step 5: Solve for x
    x = 13,926.04/129.64
  6. Step 6: Final answer
    x = 107.42

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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.