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Finding the Fourth Proportional to 22.93, 31.64 and 13.22

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Solution

The fourth proportional to 22.93, 31.64 and 13.22 is: 18.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.93 : 31.64 = 13.22 : x
  2. Step 2: Convert to fraction form
    22.93/31.64 = 13.22/x
  3. Step 3: Cross multiply
    22.93x = 31.64 × 13.22
  4. Step 4: Simplify right side
    22.93x = 418.18
  5. Step 5: Solve for x
    x = 418.18/22.93
  6. Step 6: Final answer
    x = 18.24

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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.