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Finding the Fourth Proportional to 108.10, 162.49 and 67.77

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Solution

The fourth proportional to 108.10, 162.49 and 67.77 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 162.49 = 67.77 : x
  2. Step 2: Convert to fraction form
    108.10/162.49 = 67.77/x
  3. Step 3: Cross multiply
    108.10x = 162.49 × 67.77
  4. Step 4: Simplify right side
    108.10x = 11,011.95
  5. Step 5: Solve for x
    x = 11,011.95/108.10
  6. Step 6: Final answer
    x = 101.87

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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.