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Finding the Fourth Proportional to 23.10, 31.86 and 22.54

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Solution

The fourth proportional to 23.10, 31.86 and 22.54 is: 31.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 31.86 = 22.54 : x
  2. Step 2: Convert to fraction form
    23.10/31.86 = 22.54/x
  3. Step 3: Cross multiply
    23.10x = 31.86 × 22.54
  4. Step 4: Simplify right side
    23.10x = 718.08
  5. Step 5: Solve for x
    x = 718.08/23.10
  6. Step 6: Final answer
    x = 31.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.