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Finding the Fourth Proportional to 22.72, 31.19 and 19.60

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Solution

The fourth proportional to 22.72, 31.19 and 19.60 is: 26.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.72 : 31.19 = 19.60 : x
  2. Step 2: Convert to fraction form
    22.72/31.19 = 19.60/x
  3. Step 3: Cross multiply
    22.72x = 31.19 × 19.60
  4. Step 4: Simplify right side
    22.72x = 611.32
  5. Step 5: Solve for x
    x = 611.32/22.72
  6. Step 6: Final answer
    x = 26.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.