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Finding the Fourth Proportional to 128.29, 177.02 and 89.03

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Solution

The fourth proportional to 128.29, 177.02 and 89.03 is: 122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.29 : 177.02 = 89.03 : x
  2. Step 2: Convert to fraction form
    128.29/177.02 = 89.03/x
  3. Step 3: Cross multiply
    128.29x = 177.02 × 89.03
  4. Step 4: Simplify right side
    128.29x = 15,760.09
  5. Step 5: Solve for x
    x = 15,760.09/128.29
  6. Step 6: Final answer
    x = 122.85

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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.