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Finding the Fourth Proportional to 142.56, 213.68 and 106.46

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Solution

The fourth proportional to 142.56, 213.68 and 106.46 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 213.68 = 106.46 : x
  2. Step 2: Convert to fraction form
    142.56/213.68 = 106.46/x
  3. Step 3: Cross multiply
    142.56x = 213.68 × 106.46
  4. Step 4: Simplify right side
    142.56x = 22,748.37
  5. Step 5: Solve for x
    x = 22,748.37/142.56
  6. Step 6: Final answer
    x = 159.57

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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.