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Finding the Fourth Proportional to 154.20, 212.76 and 105.18

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Solution

The fourth proportional to 154.20, 212.76 and 105.18 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 212.76 = 105.18 : x
  2. Step 2: Convert to fraction form
    154.20/212.76 = 105.18/x
  3. Step 3: Cross multiply
    154.20x = 212.76 × 105.18
  4. Step 4: Simplify right side
    154.20x = 22,378.10
  5. Step 5: Solve for x
    x = 22,378.10/154.20
  6. Step 6: Final answer
    x = 145.12

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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.