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Finding the Fourth Proportional to 105.11, 157.82 and 66.48

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Solution

The fourth proportional to 105.11, 157.82 and 66.48 is: 99.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.11 : 157.82 = 66.48 : x
  2. Step 2: Convert to fraction form
    105.11/157.82 = 66.48/x
  3. Step 3: Cross multiply
    105.11x = 157.82 × 66.48
  4. Step 4: Simplify right side
    105.11x = 10,491.54
  5. Step 5: Solve for x
    x = 10,491.54/105.11
  6. Step 6: Final answer
    x = 99.81

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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.