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Finding the Fourth Proportional to 108.88, 162.14 and 101.96

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Solution

The fourth proportional to 108.88, 162.14 and 101.96 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.88 : 162.14 = 101.96 : x
  2. Step 2: Convert to fraction form
    108.88/162.14 = 101.96/x
  3. Step 3: Cross multiply
    108.88x = 162.14 × 101.96
  4. Step 4: Simplify right side
    108.88x = 16,531.79
  5. Step 5: Solve for x
    x = 16,531.79/108.88
  6. Step 6: Final answer
    x = 151.83

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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.