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Finding the Fourth Proportional to 74.80, 102.87 and 60.22

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Solution

The fourth proportional to 74.80, 102.87 and 60.22 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.80 : 102.87 = 60.22 : x
  2. Step 2: Convert to fraction form
    74.80/102.87 = 60.22/x
  3. Step 3: Cross multiply
    74.80x = 102.87 × 60.22
  4. Step 4: Simplify right side
    74.80x = 6,194.83
  5. Step 5: Solve for x
    x = 6,194.83/74.80
  6. Step 6: Final answer
    x = 82.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.