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Finding the Fourth Proportional to 116.78, 175.05 and 51.77

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Solution

The fourth proportional to 116.78, 175.05 and 51.77 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 175.05 = 51.77 : x
  2. Step 2: Convert to fraction form
    116.78/175.05 = 51.77/x
  3. Step 3: Cross multiply
    116.78x = 175.05 × 51.77
  4. Step 4: Simplify right side
    116.78x = 9,062.78
  5. Step 5: Solve for x
    x = 9,062.78/116.78
  6. Step 6: Final answer
    x = 77.61

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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.