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Finding the Fourth Proportional to 77.45, 116.17 and 51.93

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Solution

The fourth proportional to 77.45, 116.17 and 51.93 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.45 : 116.17 = 51.93 : x
  2. Step 2: Convert to fraction form
    77.45/116.17 = 51.93/x
  3. Step 3: Cross multiply
    77.45x = 116.17 × 51.93
  4. Step 4: Simplify right side
    77.45x = 6,032.58
  5. Step 5: Solve for x
    x = 6,032.58/77.45
  6. Step 6: Final answer
    x = 77.90

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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.