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Finding the Fourth Proportional to 71.48, 98.54 and 50.72

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Solution

The fourth proportional to 71.48, 98.54 and 50.72 is: 69.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.48 : 98.54 = 50.72 : x
  2. Step 2: Convert to fraction form
    71.48/98.54 = 50.72/x
  3. Step 3: Cross multiply
    71.48x = 98.54 × 50.72
  4. Step 4: Simplify right side
    71.48x = 4,997.95
  5. Step 5: Solve for x
    x = 4,997.95/71.48
  6. Step 6: Final answer
    x = 69.92

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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.