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Finding the Fourth Proportional to 139.71, 208.71 and 90.56

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Solution

The fourth proportional to 139.71, 208.71 and 90.56 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.71 : 208.71 = 90.56 : x
  2. Step 2: Convert to fraction form
    139.71/208.71 = 90.56/x
  3. Step 3: Cross multiply
    139.71x = 208.71 × 90.56
  4. Step 4: Simplify right side
    139.71x = 18,899.73
  5. Step 5: Solve for x
    x = 18,899.73/139.71
  6. Step 6: Final answer
    x = 135.28

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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.