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Finding the Fourth Proportional to 105.90, 158.74 and 51.76

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Solution

The fourth proportional to 105.90, 158.74 and 51.76 is: 77.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 158.74 = 51.76 : x
  2. Step 2: Convert to fraction form
    105.90/158.74 = 51.76/x
  3. Step 3: Cross multiply
    105.90x = 158.74 × 51.76
  4. Step 4: Simplify right side
    105.90x = 8,216.45
  5. Step 5: Solve for x
    x = 8,216.45/105.90
  6. Step 6: Final answer
    x = 77.59

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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.