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Finding the Fourth Proportional to 105.84, 158.78 and 51.74

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Solution

The fourth proportional to 105.84, 158.78 and 51.74 is: 77.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 158.78 = 51.74 : x
  2. Step 2: Convert to fraction form
    105.84/158.78 = 51.74/x
  3. Step 3: Cross multiply
    105.84x = 158.78 × 51.74
  4. Step 4: Simplify right side
    105.84x = 8,215.28
  5. Step 5: Solve for x
    x = 8,215.28/105.84
  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.