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Finding the Fourth Proportional to 116.78, 175.02 and 51.70

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Solution

The fourth proportional to 116.78, 175.02 and 51.70 is: 77.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 175.02 = 51.70 : x
  2. Step 2: Convert to fraction form
    116.78/175.02 = 51.70/x
  3. Step 3: Cross multiply
    116.78x = 175.02 × 51.70
  4. Step 4: Simplify right side
    116.78x = 9,048.53
  5. Step 5: Solve for x
    x = 9,048.53/116.78
  6. Step 6: Final answer
    x = 77.48

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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.