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Finding the Fourth Proportional to 142.29, 213.03 and 116.91

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Solution

The fourth proportional to 142.29, 213.03 and 116.91 is: 175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.29 : 213.03 = 116.91 : x
  2. Step 2: Convert to fraction form
    142.29/213.03 = 116.91/x
  3. Step 3: Cross multiply
    142.29x = 213.03 × 116.91
  4. Step 4: Simplify right side
    142.29x = 24,905.34
  5. Step 5: Solve for x
    x = 24,905.34/142.29
  6. Step 6: Final answer
    x = 175.03

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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.