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Finding the Fourth Proportional to 154.31, 212.87 and 105.11

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Solution

The fourth proportional to 154.31, 212.87 and 105.11 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 212.87 = 105.11 : x
  2. Step 2: Convert to fraction form
    154.31/212.87 = 105.11/x
  3. Step 3: Cross multiply
    154.31x = 212.87 × 105.11
  4. Step 4: Simplify right side
    154.31x = 22,373.18
  5. Step 5: Solve for x
    x = 22,373.18/154.31
  6. Step 6: Final answer
    x = 144.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.