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Finding the Fourth Proportional to 108.19, 162.30 and 106.63

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Solution

The fourth proportional to 108.19, 162.30 and 106.63 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.19 : 162.30 = 106.63 : x
  2. Step 2: Convert to fraction form
    108.19/162.30 = 106.63/x
  3. Step 3: Cross multiply
    108.19x = 162.30 × 106.63
  4. Step 4: Simplify right side
    108.19x = 17,306.05
  5. Step 5: Solve for x
    x = 17,306.05/108.19
  6. Step 6: Final answer
    x = 159.96

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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.