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Finding the Fourth Proportional to 60.97, 84.23 and 42.54

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Solution

The fourth proportional to 60.97, 84.23 and 42.54 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.97 : 84.23 = 42.54 : x
  2. Step 2: Convert to fraction form
    60.97/84.23 = 42.54/x
  3. Step 3: Cross multiply
    60.97x = 84.23 × 42.54
  4. Step 4: Simplify right side
    60.97x = 3,583.14
  5. Step 5: Solve for x
    x = 3,583.14/60.97
  6. Step 6: Final answer
    x = 58.77

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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.