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Finding the Fourth Proportional to 98.82, 147.38 and 97.20

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Solution

The fourth proportional to 98.82, 147.38 and 97.20 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.82 : 147.38 = 97.20 : x
  2. Step 2: Convert to fraction form
    98.82/147.38 = 97.20/x
  3. Step 3: Cross multiply
    98.82x = 147.38 × 97.20
  4. Step 4: Simplify right side
    98.82x = 14,324.85
  5. Step 5: Solve for x
    x = 14,324.85/98.82
  6. Step 6: Final answer
    x = 144.96

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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.