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Finding the Fourth Proportional to 88.78, 132.56 and 77.39

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Solution

The fourth proportional to 88.78, 132.56 and 77.39 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 132.56 = 77.39 : x
  2. Step 2: Convert to fraction form
    88.78/132.56 = 77.39/x
  3. Step 3: Cross multiply
    88.78x = 132.56 × 77.39
  4. Step 4: Simplify right side
    88.78x = 10,258.82
  5. Step 5: Solve for x
    x = 10,258.82/88.78
  6. Step 6: Final answer
    x = 115.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.