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Finding the Fourth Proportional to 74.43, 102.77 and 51.14

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Solution

The fourth proportional to 74.43, 102.77 and 51.14 is: 70.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.43 : 102.77 = 51.14 : x
  2. Step 2: Convert to fraction form
    74.43/102.77 = 51.14/x
  3. Step 3: Cross multiply
    74.43x = 102.77 × 51.14
  4. Step 4: Simplify right side
    74.43x = 5,255.85
  5. Step 5: Solve for x
    x = 5,255.85/74.43
  6. Step 6: Final answer
    x = 70.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.