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Finding the Fourth Proportional to 105.54, 158.34 and 47.74

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Solution

The fourth proportional to 105.54, 158.34 and 47.74 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 158.34 = 47.74 : x
  2. Step 2: Convert to fraction form
    105.54/158.34 = 47.74/x
  3. Step 3: Cross multiply
    105.54x = 158.34 × 47.74
  4. Step 4: Simplify right side
    105.54x = 7,559.15
  5. Step 5: Solve for x
    x = 7,559.15/105.54
  6. Step 6: Final answer
    x = 71.62

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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.