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Finding the Fourth Proportional to 108.92, 162.31 and 106.61

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Solution

The fourth proportional to 108.92, 162.31 and 106.61 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.92 : 162.31 = 106.61 : x
  2. Step 2: Convert to fraction form
    108.92/162.31 = 106.61/x
  3. Step 3: Cross multiply
    108.92x = 162.31 × 106.61
  4. Step 4: Simplify right side
    108.92x = 17,303.06
  5. Step 5: Solve for x
    x = 17,303.06/108.92
  6. Step 6: Final answer
    x = 158.87

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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.