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Finding the Fourth Proportional to 159.06, 237.71 and 126.66

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Solution

The fourth proportional to 159.06, 237.71 and 126.66 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.06 : 237.71 = 126.66 : x
  2. Step 2: Convert to fraction form
    159.06/237.71 = 126.66/x
  3. Step 3: Cross multiply
    159.06x = 237.71 × 126.66
  4. Step 4: Simplify right side
    159.06x = 30,107.72
  5. Step 5: Solve for x
    x = 30,107.72/159.06
  6. Step 6: Final answer
    x = 189.29

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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.