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Finding the Fourth Proportional to 31.11, 42.83 and 27.02

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Solution

The fourth proportional to 31.11, 42.83 and 27.02 is: 37.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.11 : 42.83 = 27.02 : x
  2. Step 2: Convert to fraction form
    31.11/42.83 = 27.02/x
  3. Step 3: Cross multiply
    31.11x = 42.83 × 27.02
  4. Step 4: Simplify right side
    31.11x = 1,157.12
  5. Step 5: Solve for x
    x = 1,157.12/31.11
  6. Step 6: Final answer
    x = 37.19

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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.