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Finding the Fourth Proportional to 105.41, 157.91 and 49.74

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Solution

The fourth proportional to 105.41, 157.91 and 49.74 is: 74.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 157.91 = 49.74 : x
  2. Step 2: Convert to fraction form
    105.41/157.91 = 49.74/x
  3. Step 3: Cross multiply
    105.41x = 157.91 × 49.74
  4. Step 4: Simplify right side
    105.41x = 7,854.71
  5. Step 5: Solve for x
    x = 7,854.71/105.41
  6. Step 6: Final answer
    x = 74.52

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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.