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Finding the Fourth Proportional to 112.31, 168.65 and 106.54

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Solution

The fourth proportional to 112.31, 168.65 and 106.54 is: 159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.31 : 168.65 = 106.54 : x
  2. Step 2: Convert to fraction form
    112.31/168.65 = 106.54/x
  3. Step 3: Cross multiply
    112.31x = 168.65 × 106.54
  4. Step 4: Simplify right side
    112.31x = 17,967.97
  5. Step 5: Solve for x
    x = 17,967.97/112.31
  6. Step 6: Final answer
    x = 159.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.