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Finding the Fourth Proportional to 31.08, 46.56 and 20.40

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Solution

The fourth proportional to 31.08, 46.56 and 20.40 is: 30.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.08 : 46.56 = 20.40 : x
  2. Step 2: Convert to fraction form
    31.08/46.56 = 20.40/x
  3. Step 3: Cross multiply
    31.08x = 46.56 × 20.40
  4. Step 4: Simplify right side
    31.08x = 949.82
  5. Step 5: Solve for x
    x = 949.82/31.08
  6. Step 6: Final answer
    x = 30.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.