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Finding the Fourth Proportional to 75.47, 104.00 and 52.18

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Solution

The fourth proportional to 75.47, 104.00 and 52.18 is: 71.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 104.00 = 52.18 : x
  2. Step 2: Convert to fraction form
    75.47/104.00 = 52.18/x
  3. Step 3: Cross multiply
    75.47x = 104.00 × 52.18
  4. Step 4: Simplify right side
    75.47x = 5,426.20
  5. Step 5: Solve for x
    x = 5,426.20/75.47
  6. Step 6: Final answer
    x = 71.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.