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Finding the Fourth Proportional to 31.04, 43.07 and 30.30

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Solution

The fourth proportional to 31.04, 43.07 and 30.30 is: 42.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.04 : 43.07 = 30.30 : x
  2. Step 2: Convert to fraction form
    31.04/43.07 = 30.30/x
  3. Step 3: Cross multiply
    31.04x = 43.07 × 30.30
  4. Step 4: Simplify right side
    31.04x = 1,305.02
  5. Step 5: Solve for x
    x = 1,305.02/31.04
  6. Step 6: Final answer
    x = 42.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.