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Finding the Fourth Proportional to 108.63, 162.82 and 47.69

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Solution

The fourth proportional to 108.63, 162.82 and 47.69 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 162.82 = 47.69 : x
  2. Step 2: Convert to fraction form
    108.63/162.82 = 47.69/x
  3. Step 3: Cross multiply
    108.63x = 162.82 × 47.69
  4. Step 4: Simplify right side
    108.63x = 7,764.89
  5. Step 5: Solve for x
    x = 7,764.89/108.63
  6. Step 6: Final answer
    x = 71.48

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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.