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Finding the Fourth Proportional to 143.79, 215.78 and 52.49

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Solution

The fourth proportional to 143.79, 215.78 and 52.49 is: 78.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.79 : 215.78 = 52.49 : x
  2. Step 2: Convert to fraction form
    143.79/215.78 = 52.49/x
  3. Step 3: Cross multiply
    143.79x = 215.78 × 52.49
  4. Step 4: Simplify right side
    143.79x = 11,324.95
  5. Step 5: Solve for x
    x = 11,324.95/143.79
  6. Step 6: Final answer
    x = 78.76

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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.