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Finding the Fourth Proportional to 143.75, 215.57 and 52.42

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Solution

The fourth proportional to 143.75, 215.57 and 52.42 is: 78.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 215.57 = 52.42 : x
  2. Step 2: Convert to fraction form
    143.75/215.57 = 52.42/x
  3. Step 3: Cross multiply
    143.75x = 215.57 × 52.42
  4. Step 4: Simplify right side
    143.75x = 11,299.77
  5. Step 5: Solve for x
    x = 11,299.77/143.75
  6. Step 6: Final answer
    x = 78.61

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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.