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Finding the Fourth Proportional to 75.50, 104.10 and 52.19

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Solution

The fourth proportional to 75.50, 104.10 and 52.19 is: 71.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 104.10 = 52.19 : x
  2. Step 2: Convert to fraction form
    75.50/104.10 = 52.19/x
  3. Step 3: Cross multiply
    75.50x = 104.10 × 52.19
  4. Step 4: Simplify right side
    75.50x = 5,432.98
  5. Step 5: Solve for x
    x = 5,432.98/75.50
  6. Step 6: Final answer
    x = 71.96

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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.