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Finding the Fourth Proportional to 129.16, 178.09 and 82.53

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Solution

The fourth proportional to 129.16, 178.09 and 82.53 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.16 : 178.09 = 82.53 : x
  2. Step 2: Convert to fraction form
    129.16/178.09 = 82.53/x
  3. Step 3: Cross multiply
    129.16x = 178.09 × 82.53
  4. Step 4: Simplify right side
    129.16x = 14,698.03
  5. Step 5: Solve for x
    x = 14,698.03/129.16
  6. Step 6: Final answer
    x = 113.80

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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.