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Finding the Fourth Proportional to 71.05, 98.01 and 41.95

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Solution

The fourth proportional to 71.05, 98.01 and 41.95 is: 57.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 98.01 = 41.95 : x
  2. Step 2: Convert to fraction form
    71.05/98.01 = 41.95/x
  3. Step 3: Cross multiply
    71.05x = 98.01 × 41.95
  4. Step 4: Simplify right side
    71.05x = 4,111.52
  5. Step 5: Solve for x
    x = 4,111.52/71.05
  6. Step 6: Final answer
    x = 57.87

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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.