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Finding the Fourth Proportional to 108.29, 162.49 and 47.40

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Solution

The fourth proportional to 108.29, 162.49 and 47.40 is: 71.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.29 : 162.49 = 47.40 : x
  2. Step 2: Convert to fraction form
    108.29/162.49 = 47.40/x
  3. Step 3: Cross multiply
    108.29x = 162.49 × 47.40
  4. Step 4: Simplify right side
    108.29x = 7,702.30
  5. Step 5: Solve for x
    x = 7,702.30/108.29
  6. Step 6: Final answer
    x = 71.13

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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.