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Finding the Fourth Proportional to 143.53, 215.11 and 52.14

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Solution

The fourth proportional to 143.53, 215.11 and 52.14 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.53 : 215.11 = 52.14 : x
  2. Step 2: Convert to fraction form
    143.53/215.11 = 52.14/x
  3. Step 3: Cross multiply
    143.53x = 215.11 × 52.14
  4. Step 4: Simplify right side
    143.53x = 11,215.84
  5. Step 5: Solve for x
    x = 11,215.84/143.53
  6. Step 6: Final answer
    x = 78.14

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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.