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Finding the Fourth Proportional to 71.56, 98.56 and 52.12

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Solution

The fourth proportional to 71.56, 98.56 and 52.12 is: 71.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 98.56 = 52.12 : x
  2. Step 2: Convert to fraction form
    71.56/98.56 = 52.12/x
  3. Step 3: Cross multiply
    71.56x = 98.56 × 52.12
  4. Step 4: Simplify right side
    71.56x = 5,136.95
  5. Step 5: Solve for x
    x = 5,136.95/71.56
  6. Step 6: Final answer
    x = 71.79

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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.