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Finding the Fourth Proportional to 129.06, 178.14 and 82.46

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Solution

The fourth proportional to 129.06, 178.14 and 82.46 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 178.14 = 82.46 : x
  2. Step 2: Convert to fraction form
    129.06/178.14 = 82.46/x
  3. Step 3: Cross multiply
    129.06x = 178.14 × 82.46
  4. Step 4: Simplify right side
    129.06x = 14,689.42
  5. Step 5: Solve for x
    x = 14,689.42/129.06
  6. Step 6: Final answer
    x = 113.82

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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.