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Finding the Fourth Proportional to 128.89, 177.49 and 87.43

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Solution

The fourth proportional to 128.89, 177.49 and 87.43 is: 120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.89 : 177.49 = 87.43 : x
  2. Step 2: Convert to fraction form
    128.89/177.49 = 87.43/x
  3. Step 3: Cross multiply
    128.89x = 177.49 × 87.43
  4. Step 4: Simplify right side
    128.89x = 15,517.95
  5. Step 5: Solve for x
    x = 15,517.95/128.89
  6. Step 6: Final answer
    x = 120.40

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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.