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Finding the Fourth Proportional to 142.10, 213.12 and 45.86

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Solution

The fourth proportional to 142.10, 213.12 and 45.86 is: 68.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 213.12 = 45.86 : x
  2. Step 2: Convert to fraction form
    142.10/213.12 = 45.86/x
  3. Step 3: Cross multiply
    142.10x = 213.12 × 45.86
  4. Step 4: Simplify right side
    142.10x = 9,773.68
  5. Step 5: Solve for x
    x = 9,773.68/142.10
  6. Step 6: Final answer
    x = 68.78

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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.