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Finding the Fourth Proportional to 74.66, 111.38 and 71.22

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Solution

The fourth proportional to 74.66, 111.38 and 71.22 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 111.38 = 71.22 : x
  2. Step 2: Convert to fraction form
    74.66/111.38 = 71.22/x
  3. Step 3: Cross multiply
    74.66x = 111.38 × 71.22
  4. Step 4: Simplify right side
    74.66x = 7,932.48
  5. Step 5: Solve for x
    x = 7,932.48/74.66
  6. Step 6: Final answer
    x = 106.25

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