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Finding the Fourth Proportional to 112.56, 154.17 and 107.08

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Solution

The fourth proportional to 112.56, 154.17 and 107.08 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 154.17 = 107.08 : x
  2. Step 2: Convert to fraction form
    112.56/154.17 = 107.08/x
  3. Step 3: Cross multiply
    112.56x = 154.17 × 107.08
  4. Step 4: Simplify right side
    112.56x = 16,508.52
  5. Step 5: Solve for x
    x = 16,508.52/112.56
  6. Step 6: Final answer
    x = 146.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.