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Finding the Fourth Proportional to 77.67, 116.40 and 51.93

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Solution

The fourth proportional to 77.67, 116.40 and 51.93 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.67 : 116.40 = 51.93 : x
  2. Step 2: Convert to fraction form
    77.67/116.40 = 51.93/x
  3. Step 3: Cross multiply
    77.67x = 116.40 × 51.93
  4. Step 4: Simplify right side
    77.67x = 6,044.65
  5. Step 5: Solve for x
    x = 6,044.65/77.67
  6. Step 6: Final answer
    x = 77.82

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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.