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Finding the Fourth Proportional to 129.03, 177.85 and 89.75

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Solution

The fourth proportional to 129.03, 177.85 and 89.75 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 177.85 = 89.75 : x
  2. Step 2: Convert to fraction form
    129.03/177.85 = 89.75/x
  3. Step 3: Cross multiply
    129.03x = 177.85 × 89.75
  4. Step 4: Simplify right side
    129.03x = 15,961.15
  5. Step 5: Solve for x
    x = 15,961.15/129.03
  6. Step 6: Final answer
    x = 123.70

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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.