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Finding the Fourth Proportional to 142.65, 213.77 and 106.54

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Solution

The fourth proportional to 142.65, 213.77 and 106.54 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 213.77 = 106.54 : x
  2. Step 2: Convert to fraction form
    142.65/213.77 = 106.54/x
  3. Step 3: Cross multiply
    142.65x = 213.77 × 106.54
  4. Step 4: Simplify right side
    142.65x = 22,774.79
  5. Step 5: Solve for x
    x = 22,774.79/142.65
  6. Step 6: Final answer
    x = 159.66

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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.