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Finding the Fourth Proportional to 71.24, 98.10 and 71

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Solution

The fourth proportional to 71.24, 98.10 and 71 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 98.10 = 71 : x
  2. Step 2: Convert to fraction form
    71.24/98.10 = 71/x
  3. Step 3: Cross multiply
    71.24x = 98.10 × 71
  4. Step 4: Simplify right side
    71.24x = 6,965.10
  5. Step 5: Solve for x
    x = 6,965.10/71.24
  6. Step 6: Final answer
    x = 97.77

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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.