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Finding the Fourth Proportional to 143.53, 215.67 and 95.74

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Solution

The fourth proportional to 143.53, 215.67 and 95.74 is: 143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.53 : 215.67 = 95.74 : x
  2. Step 2: Convert to fraction form
    143.53/215.67 = 95.74/x
  3. Step 3: Cross multiply
    143.53x = 215.67 × 95.74
  4. Step 4: Simplify right side
    143.53x = 20,648.25
  5. Step 5: Solve for x
    x = 20,648.25/143.53
  6. Step 6: Final answer
    x = 143.86

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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.