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Finding the Fourth Proportional to 139.33, 209.02 and 48.02

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Solution

The fourth proportional to 139.33, 209.02 and 48.02 is: 72.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.33 : 209.02 = 48.02 : x
  2. Step 2: Convert to fraction form
    139.33/209.02 = 48.02/x
  3. Step 3: Cross multiply
    139.33x = 209.02 × 48.02
  4. Step 4: Simplify right side
    139.33x = 10,037.14
  5. Step 5: Solve for x
    x = 10,037.14/139.33
  6. Step 6: Final answer
    x = 72.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.