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Finding the Fourth Proportional to 39.30, 54.12 and 31.11

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Solution

The fourth proportional to 39.30, 54.12 and 31.11 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.30 : 54.12 = 31.11 : x
  2. Step 2: Convert to fraction form
    39.30/54.12 = 31.11/x
  3. Step 3: Cross multiply
    39.30x = 54.12 × 31.11
  4. Step 4: Simplify right side
    39.30x = 1,683.67
  5. Step 5: Solve for x
    x = 1,683.67/39.30
  6. Step 6: Final answer
    x = 42.84

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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.