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Finding the Fourth Proportional to 98.17, 146.56 and 82.79

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Solution

The fourth proportional to 98.17, 146.56 and 82.79 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.17 : 146.56 = 82.79 : x
  2. Step 2: Convert to fraction form
    98.17/146.56 = 82.79/x
  3. Step 3: Cross multiply
    98.17x = 146.56 × 82.79
  4. Step 4: Simplify right side
    98.17x = 12,133.78
  5. Step 5: Solve for x
    x = 12,133.78/98.17
  6. Step 6: Final answer
    x = 123.60

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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.