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Finding the Fourth Proportional to 71.17, 98.24 and 53.74

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Solution

The fourth proportional to 71.17, 98.24 and 53.74 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.17 : 98.24 = 53.74 : x
  2. Step 2: Convert to fraction form
    71.17/98.24 = 53.74/x
  3. Step 3: Cross multiply
    71.17x = 98.24 × 53.74
  4. Step 4: Simplify right side
    71.17x = 5,278.66
  5. Step 5: Solve for x
    x = 5,278.66/71.17
  6. Step 6: Final answer
    x = 74.17

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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.