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Finding the Fourth Proportional to 108.35, 162.33 and 67.14

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Solution

The fourth proportional to 108.35, 162.33 and 67.14 is: 100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.35 : 162.33 = 67.14 : x
  2. Step 2: Convert to fraction form
    108.35/162.33 = 67.14/x
  3. Step 3: Cross multiply
    108.35x = 162.33 × 67.14
  4. Step 4: Simplify right side
    108.35x = 10,898.84
  5. Step 5: Solve for x
    x = 10,898.84/108.35
  6. Step 6: Final answer
    x = 100.59

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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.