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Finding the Fourth Proportional to 71.26, 98.28 and 42.14

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Solution

The fourth proportional to 71.26, 98.28 and 42.14 is: 58.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.26 : 98.28 = 42.14 : x
  2. Step 2: Convert to fraction form
    71.26/98.28 = 42.14/x
  3. Step 3: Cross multiply
    71.26x = 98.28 × 42.14
  4. Step 4: Simplify right side
    71.26x = 4,141.76
  5. Step 5: Solve for x
    x = 4,141.76/71.26
  6. Step 6: Final answer
    x = 58.12

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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.