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Finding the Fourth Proportional to 77.66, 116.30 and 51.91

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Solution

The fourth proportional to 77.66, 116.30 and 51.91 is: 77.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 116.30 = 51.91 : x
  2. Step 2: Convert to fraction form
    77.66/116.30 = 51.91/x
  3. Step 3: Cross multiply
    77.66x = 116.30 × 51.91
  4. Step 4: Simplify right side
    77.66x = 6,036.97
  5. Step 5: Solve for x
    x = 6,036.97/77.66
  6. Step 6: Final answer
    x = 77.74

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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.