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Finding the Fourth Proportional to 143.46, 215.17 and 52.14

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Solution

The fourth proportional to 143.46, 215.17 and 52.14 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.46 : 215.17 = 52.14 : x
  2. Step 2: Convert to fraction form
    143.46/215.17 = 52.14/x
  3. Step 3: Cross multiply
    143.46x = 215.17 × 52.14
  4. Step 4: Simplify right side
    143.46x = 11,219.64
  5. Step 5: Solve for x
    x = 11,219.64/143.46
  6. Step 6: Final answer
    x = 78.21

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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.