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Finding the Fourth Proportional to 31.01, 42.80 and 21.83

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Solution

The fourth proportional to 31.01, 42.80 and 21.83 is: 30.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.01 : 42.80 = 21.83 : x
  2. Step 2: Convert to fraction form
    31.01/42.80 = 21.83/x
  3. Step 3: Cross multiply
    31.01x = 42.80 × 21.83
  4. Step 4: Simplify right side
    31.01x = 934.21
  5. Step 5: Solve for x
    x = 934.21/31.01
  6. Step 6: Final answer
    x = 30.13

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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.