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Finding the Fourth Proportional to 105.78, 158.76 and 51.72

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Solution

The fourth proportional to 105.78, 158.76 and 51.72 is: 77.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 158.76 = 51.72 : x
  2. Step 2: Convert to fraction form
    105.78/158.76 = 51.72/x
  3. Step 3: Cross multiply
    105.78x = 158.76 × 51.72
  4. Step 4: Simplify right side
    105.78x = 8,211.07
  5. Step 5: Solve for x
    x = 8,211.07/105.78
  6. Step 6: Final answer
    x = 77.62

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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.