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Finding the Fourth Proportional to 31.15, 46.74 and 22.15

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Solution

The fourth proportional to 31.15, 46.74 and 22.15 is: 33.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.15 : 46.74 = 22.15 : x
  2. Step 2: Convert to fraction form
    31.15/46.74 = 22.15/x
  3. Step 3: Cross multiply
    31.15x = 46.74 × 22.15
  4. Step 4: Simplify right side
    31.15x = 1,035.29
  5. Step 5: Solve for x
    x = 1,035.29/31.15
  6. Step 6: Final answer
    x = 33.24

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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.