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Finding the Fourth Proportional to 31.12, 46.60 and 15.04

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Solution

The fourth proportional to 31.12, 46.60 and 15.04 is: 22.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.12 : 46.60 = 15.04 : x
  2. Step 2: Convert to fraction form
    31.12/46.60 = 15.04/x
  3. Step 3: Cross multiply
    31.12x = 46.60 × 15.04
  4. Step 4: Simplify right side
    31.12x = 700.86
  5. Step 5: Solve for x
    x = 700.86/31.12
  6. Step 6: Final answer
    x = 22.52

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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.