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Finding the Fourth Proportional to 31.07, 42.86 and 22.34

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Solution

The fourth proportional to 31.07, 42.86 and 22.34 is: 30.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.07 : 42.86 = 22.34 : x
  2. Step 2: Convert to fraction form
    31.07/42.86 = 22.34/x
  3. Step 3: Cross multiply
    31.07x = 42.86 × 22.34
  4. Step 4: Simplify right side
    31.07x = 957.49
  5. Step 5: Solve for x
    x = 957.49/31.07
  6. Step 6: Final answer
    x = 30.82

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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.