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Finding the Fourth Proportional to 60.49, 83.45 and 42.09

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Solution

The fourth proportional to 60.49, 83.45 and 42.09 is: 58.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.49 : 83.45 = 42.09 : x
  2. Step 2: Convert to fraction form
    60.49/83.45 = 42.09/x
  3. Step 3: Cross multiply
    60.49x = 83.45 × 42.09
  4. Step 4: Simplify right side
    60.49x = 3,511.78
  5. Step 5: Solve for x
    x = 3,511.78/60.49
  6. Step 6: Final answer
    x = 58.06

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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.