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Finding the Fourth Proportional to 31.04, 42.76 and 22.40

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Solution

The fourth proportional to 31.04, 42.76 and 22.40 is: 30.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.04 : 42.76 = 22.40 : x
  2. Step 2: Convert to fraction form
    31.04/42.76 = 22.40/x
  3. Step 3: Cross multiply
    31.04x = 42.76 × 22.40
  4. Step 4: Simplify right side
    31.04x = 957.82
  5. Step 5: Solve for x
    x = 957.82/31.04
  6. Step 6: Final answer
    x = 30.86

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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.