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Finding the Fourth Proportional to 142.23, 213.17 and 78.03

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Solution

The fourth proportional to 142.23, 213.17 and 78.03 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.23 : 213.17 = 78.03 : x
  2. Step 2: Convert to fraction form
    142.23/213.17 = 78.03/x
  3. Step 3: Cross multiply
    142.23x = 213.17 × 78.03
  4. Step 4: Simplify right side
    142.23x = 16,633.26
  5. Step 5: Solve for x
    x = 16,633.26/142.23
  6. Step 6: Final answer
    x = 116.95

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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.