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Finding the Fourth Proportional to 142.34, 213.80 and 106.50

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Solution

The fourth proportional to 142.34, 213.80 and 106.50 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.34 : 213.80 = 106.50 : x
  2. Step 2: Convert to fraction form
    142.34/213.80 = 106.50/x
  3. Step 3: Cross multiply
    142.34x = 213.80 × 106.50
  4. Step 4: Simplify right side
    142.34x = 22,769.70
  5. Step 5: Solve for x
    x = 22,769.70/142.34
  6. Step 6: Final answer
    x = 159.97

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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.