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Finding the Fourth Proportional to 142.74, 214.13 and 77.76

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Solution

The fourth proportional to 142.74, 214.13 and 77.76 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 214.13 = 77.76 : x
  2. Step 2: Convert to fraction form
    142.74/214.13 = 77.76/x
  3. Step 3: Cross multiply
    142.74x = 214.13 × 77.76
  4. Step 4: Simplify right side
    142.74x = 16,650.75
  5. Step 5: Solve for x
    x = 16,650.75/142.74
  6. Step 6: Final answer
    x = 116.65

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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.