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Finding the Fourth Proportional to 154.31, 212.63 and 126.87

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Solution

The fourth proportional to 154.31, 212.63 and 126.87 is: 174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 212.63 = 126.87 : x
  2. Step 2: Convert to fraction form
    154.31/212.63 = 126.87/x
  3. Step 3: Cross multiply
    154.31x = 212.63 × 126.87
  4. Step 4: Simplify right side
    154.31x = 26,974.94
  5. Step 5: Solve for x
    x = 26,974.94/154.31
  6. Step 6: Final answer
    x = 174.82

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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.