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Finding the Fourth Proportional to 74.81, 111.41 and 71.33

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Solution

The fourth proportional to 74.81, 111.41 and 71.33 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 111.41 = 71.33 : x
  2. Step 2: Convert to fraction form
    74.81/111.41 = 71.33/x
  3. Step 3: Cross multiply
    74.81x = 111.41 × 71.33
  4. Step 4: Simplify right side
    74.81x = 7,945.96
  5. Step 5: Solve for x
    x = 7,945.96/74.81
  6. Step 6: Final answer
    x = 106.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.