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Finding the Fourth Proportional to 148.53, 205.14 and 99.33

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Solution

The fourth proportional to 148.53, 205.14 and 99.33 is: 137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 205.14 = 99.33 : x
  2. Step 2: Convert to fraction form
    148.53/205.14 = 99.33/x
  3. Step 3: Cross multiply
    148.53x = 205.14 × 99.33
  4. Step 4: Simplify right side
    148.53x = 20,376.56
  5. Step 5: Solve for x
    x = 20,376.56/148.53
  6. Step 6: Final answer
    x = 137.19

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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.