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Finding the Fourth Proportional to 128.76, 177.66 and 81.48

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Solution

The fourth proportional to 128.76, 177.66 and 81.48 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.76 : 177.66 = 81.48 : x
  2. Step 2: Convert to fraction form
    128.76/177.66 = 81.48/x
  3. Step 3: Cross multiply
    128.76x = 177.66 × 81.48
  4. Step 4: Simplify right side
    128.76x = 14,475.74
  5. Step 5: Solve for x
    x = 14,475.74/128.76
  6. Step 6: Final answer
    x = 112.42

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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.