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Finding the Fourth Proportional to 148.85, 205.29 and 99.05

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Solution

The fourth proportional to 148.85, 205.29 and 99.05 is: 136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.85 : 205.29 = 99.05 : x
  2. Step 2: Convert to fraction form
    148.85/205.29 = 99.05/x
  3. Step 3: Cross multiply
    148.85x = 205.29 × 99.05
  4. Step 4: Simplify right side
    148.85x = 20,334.49
  5. Step 5: Solve for x
    x = 20,334.49/148.85
  6. Step 6: Final answer
    x = 136.62

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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.