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Finding the Fourth Proportional to 143.67, 215.49 and 46.16

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Solution

The fourth proportional to 143.67, 215.49 and 46.16 is: 69.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.67 : 215.49 = 46.16 : x
  2. Step 2: Convert to fraction form
    143.67/215.49 = 46.16/x
  3. Step 3: Cross multiply
    143.67x = 215.49 × 46.16
  4. Step 4: Simplify right side
    143.67x = 9,947.56
  5. Step 5: Solve for x
    x = 9,947.56/143.67
  6. Step 6: Final answer
    x = 69.24

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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.