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Finding the Fourth Proportional to 60.06, 82.84 and 42.55

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Solution

The fourth proportional to 60.06, 82.84 and 42.55 is: 58.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.06 : 82.84 = 42.55 : x
  2. Step 2: Convert to fraction form
    60.06/82.84 = 42.55/x
  3. Step 3: Cross multiply
    60.06x = 82.84 × 42.55
  4. Step 4: Simplify right side
    60.06x = 3,524.53
  5. Step 5: Solve for x
    x = 3,524.53/60.06
  6. Step 6: Final answer
    x = 58.68

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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.