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Finding the Fourth Proportional to 31.10, 46.54 and 23.06

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Solution

The fourth proportional to 31.10, 46.54 and 23.06 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.10 : 46.54 = 23.06 : x
  2. Step 2: Convert to fraction form
    31.10/46.54 = 23.06/x
  3. Step 3: Cross multiply
    31.10x = 46.54 × 23.06
  4. Step 4: Simplify right side
    31.10x = 1,073.21
  5. Step 5: Solve for x
    x = 1,073.21/31.10
  6. Step 6: Final answer
    x = 34.51

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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.