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Finding the Fourth Proportional to 96.18, 132.56 and 77.82

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Solution

The fourth proportional to 96.18, 132.56 and 77.82 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.18 : 132.56 = 77.82 : x
  2. Step 2: Convert to fraction form
    96.18/132.56 = 77.82/x
  3. Step 3: Cross multiply
    96.18x = 132.56 × 77.82
  4. Step 4: Simplify right side
    96.18x = 10,315.82
  5. Step 5: Solve for x
    x = 10,315.82/96.18
  6. Step 6: Final answer
    x = 107.26

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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.