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Finding the Fourth Proportional to 142.01, 212.96 and 69.86

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Solution

The fourth proportional to 142.01, 212.96 and 69.86 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.01 : 212.96 = 69.86 : x
  2. Step 2: Convert to fraction form
    142.01/212.96 = 69.86/x
  3. Step 3: Cross multiply
    142.01x = 212.96 × 69.86
  4. Step 4: Simplify right side
    142.01x = 14,876.50
  5. Step 5: Solve for x
    x = 14,876.50/142.01
  6. Step 6: Final answer
    x = 104.76

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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.