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Finding the Fourth Proportional to 98.58, 147.20 and 82.18

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Solution

The fourth proportional to 98.58, 147.20 and 82.18 is: 122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 147.20 = 82.18 : x
  2. Step 2: Convert to fraction form
    98.58/147.20 = 82.18/x
  3. Step 3: Cross multiply
    98.58x = 147.20 × 82.18
  4. Step 4: Simplify right side
    98.58x = 12,096.90
  5. Step 5: Solve for x
    x = 12,096.90/98.58
  6. Step 6: Final answer
    x = 122.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.