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Finding the Fourth Proportional to 143.69, 215.34 and 52.30

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Solution

The fourth proportional to 143.69, 215.34 and 52.30 is: 78.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.69 : 215.34 = 52.30 : x
  2. Step 2: Convert to fraction form
    143.69/215.34 = 52.30/x
  3. Step 3: Cross multiply
    143.69x = 215.34 × 52.30
  4. Step 4: Simplify right side
    143.69x = 11,262.47
  5. Step 5: Solve for x
    x = 11,262.47/143.69
  6. Step 6: Final answer
    x = 78.38

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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.