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Finding the Fourth Proportional to 148.28, 204.80 and 99.07

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Solution

The fourth proportional to 148.28, 204.80 and 99.07 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.28 : 204.80 = 99.07 : x
  2. Step 2: Convert to fraction form
    148.28/204.80 = 99.07/x
  3. Step 3: Cross multiply
    148.28x = 204.80 × 99.07
  4. Step 4: Simplify right side
    148.28x = 20,289.54
  5. Step 5: Solve for x
    x = 20,289.54/148.28
  6. Step 6: Final answer
    x = 136.83

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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.