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Finding the Fourth Proportional to 143.64, 214.92 and 111.78

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Solution

The fourth proportional to 143.64, 214.92 and 111.78 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 214.92 = 111.78 : x
  2. Step 2: Convert to fraction form
    143.64/214.92 = 111.78/x
  3. Step 3: Cross multiply
    143.64x = 214.92 × 111.78
  4. Step 4: Simplify right side
    143.64x = 24,023.76
  5. Step 5: Solve for x
    x = 24,023.76/143.64
  6. Step 6: Final answer
    x = 167.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.