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Finding the Fourth Proportional to 108.32, 160.67 and 106.70

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Solution

The fourth proportional to 108.32, 160.67 and 106.70 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 160.67 = 106.70 : x
  2. Step 2: Convert to fraction form
    108.32/160.67 = 106.70/x
  3. Step 3: Cross multiply
    108.32x = 160.67 × 106.70
  4. Step 4: Simplify right side
    108.32x = 17,143.49
  5. Step 5: Solve for x
    x = 17,143.49/108.32
  6. Step 6: Final answer
    x = 158.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.