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Finding the Fourth Proportional to 108.39, 162.61 and 31.35

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Solution

The fourth proportional to 108.39, 162.61 and 31.35 is: 47.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.39 : 162.61 = 31.35 : x
  2. Step 2: Convert to fraction form
    108.39/162.61 = 31.35/x
  3. Step 3: Cross multiply
    108.39x = 162.61 × 31.35
  4. Step 4: Simplify right side
    108.39x = 5,098.39
  5. Step 5: Solve for x
    x = 5,098.39/108.39
  6. Step 6: Final answer
    x = 47.04

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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.