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Finding the Fourth Proportional to 139.57, 208.59 and 103.09

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Solution

The fourth proportional to 139.57, 208.59 and 103.09 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.57 : 208.59 = 103.09 : x
  2. Step 2: Convert to fraction form
    139.57/208.59 = 103.09/x
  3. Step 3: Cross multiply
    139.57x = 208.59 × 103.09
  4. Step 4: Simplify right side
    139.57x = 21,502.11
  5. Step 5: Solve for x
    x = 21,502.11/139.57
  6. Step 6: Final answer
    x = 154.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.