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Finding the Fourth Proportional to 31.23, 46.76 and 23.19

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Solution

The fourth proportional to 31.23, 46.76 and 23.19 is: 34.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.23 : 46.76 = 23.19 : x
  2. Step 2: Convert to fraction form
    31.23/46.76 = 23.19/x
  3. Step 3: Cross multiply
    31.23x = 46.76 × 23.19
  4. Step 4: Simplify right side
    31.23x = 1,084.25
  5. Step 5: Solve for x
    x = 1,084.25/31.23
  6. Step 6: Final answer
    x = 34.72

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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.