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Finding the Fourth Proportional to 88.80, 132.56 and 78

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Solution

The fourth proportional to 88.80, 132.56 and 78 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 132.56 = 78 : x
  2. Step 2: Convert to fraction form
    88.80/132.56 = 78/x
  3. Step 3: Cross multiply
    88.80x = 132.56 × 78
  4. Step 4: Simplify right side
    88.80x = 10,339.29
  5. Step 5: Solve for x
    x = 10,339.29/88.80
  6. Step 6: Final answer
    x = 116.43

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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.