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Finding the Fourth Proportional to 112.66, 155.52 and 77.70

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Solution

The fourth proportional to 112.66, 155.52 and 77.70 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.66 : 155.52 = 77.70 : x
  2. Step 2: Convert to fraction form
    112.66/155.52 = 77.70/x
  3. Step 3: Cross multiply
    112.66x = 155.52 × 77.70
  4. Step 4: Simplify right side
    112.66x = 12,083.90
  5. Step 5: Solve for x
    x = 12,083.90/112.66
  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.