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Finding the Fourth Proportional to 148.11, 204.21 and 98.88

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Solution

The fourth proportional to 148.11, 204.21 and 98.88 is: 136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 204.21 = 98.88 : x
  2. Step 2: Convert to fraction form
    148.11/204.21 = 98.88/x
  3. Step 3: Cross multiply
    148.11x = 204.21 × 98.88
  4. Step 4: Simplify right side
    148.11x = 20,192.28
  5. Step 5: Solve for x
    x = 20,192.28/148.11
  6. Step 6: Final answer
    x = 136.33

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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.