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Finding the Fourth Proportional to 60.93, 84.14 and 41.58

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Solution

The fourth proportional to 60.93, 84.14 and 41.58 is: 57.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.93 : 84.14 = 41.58 : x
  2. Step 2: Convert to fraction form
    60.93/84.14 = 41.58/x
  3. Step 3: Cross multiply
    60.93x = 84.14 × 41.58
  4. Step 4: Simplify right side
    60.93x = 3,498.33
  5. Step 5: Solve for x
    x = 3,498.33/60.93
  6. Step 6: Final answer
    x = 57.42

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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.