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Finding the Fourth Proportional to 112, 166.76 and 107.40

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Solution

The fourth proportional to 112, 166.76 and 107.40 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 166.76 = 107.40 : x
  2. Step 2: Convert to fraction form
    112/166.76 = 107.40/x
  3. Step 3: Cross multiply
    112x = 166.76 × 107.40
  4. Step 4: Simplify right side
    112x = 17,910.02
  5. Step 5: Solve for x
    x = 17,910.02/112
  6. Step 6: Final answer
    x = 159.91

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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.