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Finding the Fourth Proportional to 71.82, 107.28 and 60.48

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Solution

The fourth proportional to 71.82, 107.28 and 60.48 is: 90.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.28 = 60.48 : x
  2. Step 2: Convert to fraction form
    71.82/107.28 = 60.48/x
  3. Step 3: Cross multiply
    71.82x = 107.28 × 60.48
  4. Step 4: Simplify right side
    71.82x = 6,488.29
  5. Step 5: Solve for x
    x = 6,488.29/71.82
  6. Step 6: Final answer
    x = 90.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.