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Finding the Fourth Proportional to 129, 193.28 and 85.61

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Solution

The fourth proportional to 129, 193.28 and 85.61 is: 128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 193.28 = 85.61 : x
  2. Step 2: Convert to fraction form
    129/193.28 = 85.61/x
  3. Step 3: Cross multiply
    129x = 193.28 × 85.61
  4. Step 4: Simplify right side
    129x = 16,547.40
  5. Step 5: Solve for x
    x = 16,547.40/129
  6. Step 6: Final answer
    x = 128.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.