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Finding the Fourth Proportional to 98.97, 148.55 and 52.73

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Solution

The fourth proportional to 98.97, 148.55 and 52.73 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 148.55 = 52.73 : x
  2. Step 2: Convert to fraction form
    98.97/148.55 = 52.73/x
  3. Step 3: Cross multiply
    98.97x = 148.55 × 52.73
  4. Step 4: Simplify right side
    98.97x = 7,833.04
  5. Step 5: Solve for x
    x = 7,833.04/98.97
  6. Step 6: Final answer
    x = 79.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.