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Finding the Fourth Proportional to 52.85, 72.98 and 34.43

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Solution

The fourth proportional to 52.85, 72.98 and 34.43 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.85 : 72.98 = 34.43 : x
  2. Step 2: Convert to fraction form
    52.85/72.98 = 34.43/x
  3. Step 3: Cross multiply
    52.85x = 72.98 × 34.43
  4. Step 4: Simplify right side
    52.85x = 2,512.53
  5. Step 5: Solve for x
    x = 2,512.53/52.85
  6. Step 6: Final answer
    x = 47.54

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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.