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Finding the Fourth Proportional to 128.42, 177.17 and 81.75

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Solution

The fourth proportional to 128.42, 177.17 and 81.75 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.42 : 177.17 = 81.75 : x
  2. Step 2: Convert to fraction form
    128.42/177.17 = 81.75/x
  3. Step 3: Cross multiply
    128.42x = 177.17 × 81.75
  4. Step 4: Simplify right side
    128.42x = 14,483.65
  5. Step 5: Solve for x
    x = 14,483.65/128.42
  6. Step 6: Final answer
    x = 112.78

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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.