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Finding the Fourth Proportional to 39.74, 54.83 and 23.14

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Solution

The fourth proportional to 39.74, 54.83 and 23.14 is: 31.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.74 : 54.83 = 23.14 : x
  2. Step 2: Convert to fraction form
    39.74/54.83 = 23.14/x
  3. Step 3: Cross multiply
    39.74x = 54.83 × 23.14
  4. Step 4: Simplify right side
    39.74x = 1,268.80
  5. Step 5: Solve for x
    x = 1,268.80/39.74
  6. Step 6: Final answer
    x = 31.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.