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Finding the Fourth Proportional to 73.13, 109.60 and 38.82

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Solution

The fourth proportional to 73.13, 109.60 and 38.82 is: 58.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 109.60 = 38.82 : x
  2. Step 2: Convert to fraction form
    73.13/109.60 = 38.82/x
  3. Step 3: Cross multiply
    73.13x = 109.60 × 38.82
  4. Step 4: Simplify right side
    73.13x = 4,254.30
  5. Step 5: Solve for x
    x = 4,254.30/73.13
  6. Step 6: Final answer
    x = 58.18

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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.