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Finding the Fourth Proportional to 88.56, 132.30 and 77.76

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Solution

The fourth proportional to 88.56, 132.30 and 77.76 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.56 : 132.30 = 77.76 : x
  2. Step 2: Convert to fraction form
    88.56/132.30 = 77.76/x
  3. Step 3: Cross multiply
    88.56x = 132.30 × 77.76
  4. Step 4: Simplify right side
    88.56x = 10,287.65
  5. Step 5: Solve for x
    x = 10,287.65/88.56
  6. Step 6: Final answer
    x = 116.17

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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.