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Finding the Fourth Proportional to 148.41, 204.87 and 99.27

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Solution

The fourth proportional to 148.41, 204.87 and 99.27 is: 137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.41 : 204.87 = 99.27 : x
  2. Step 2: Convert to fraction form
    148.41/204.87 = 99.27/x
  3. Step 3: Cross multiply
    148.41x = 204.87 × 99.27
  4. Step 4: Simplify right side
    148.41x = 20,337.44
  5. Step 5: Solve for x
    x = 20,337.44/148.41
  6. Step 6: Final answer
    x = 137.04

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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.