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Finding the Fourth Proportional to 22.64, 31.26 and 15.28

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Solution

The fourth proportional to 22.64, 31.26 and 15.28 is: 21.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.64 : 31.26 = 15.28 : x
  2. Step 2: Convert to fraction form
    22.64/31.26 = 15.28/x
  3. Step 3: Cross multiply
    22.64x = 31.26 × 15.28
  4. Step 4: Simplify right side
    22.64x = 477.65
  5. Step 5: Solve for x
    x = 477.65/22.64
  6. Step 6: Final answer
    x = 21.10

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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.