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Finding the Fourth Proportional to 31.16, 46.76 and 23.15

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Solution

The fourth proportional to 31.16, 46.76 and 23.15 is: 34.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.16 : 46.76 = 23.15 : x
  2. Step 2: Convert to fraction form
    31.16/46.76 = 23.15/x
  3. Step 3: Cross multiply
    31.16x = 46.76 × 23.15
  4. Step 4: Simplify right side
    31.16x = 1,082.14
  5. Step 5: Solve for x
    x = 1,082.14/31.16
  6. Step 6: Final answer
    x = 34.73

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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.