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Finding the Fourth Proportional to 128.61, 177.38 and 96.96

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Solution

The fourth proportional to 128.61, 177.38 and 96.96 is: 133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.61 : 177.38 = 96.96 : x
  2. Step 2: Convert to fraction form
    128.61/177.38 = 96.96/x
  3. Step 3: Cross multiply
    128.61x = 177.38 × 96.96
  4. Step 4: Simplify right side
    128.61x = 17,198.28
  5. Step 5: Solve for x
    x = 17,198.28/128.61
  6. Step 6: Final answer
    x = 133.72

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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.