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Finding the Fourth Proportional to 22.75, 31.40 and 16.29

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Solution

The fourth proportional to 22.75, 31.40 and 16.29 is: 22.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 31.40 = 16.29 : x
  2. Step 2: Convert to fraction form
    22.75/31.40 = 16.29/x
  3. Step 3: Cross multiply
    22.75x = 31.40 × 16.29
  4. Step 4: Simplify right side
    22.75x = 511.51
  5. Step 5: Solve for x
    x = 511.51/22.75
  6. Step 6: Final answer
    x = 22.48

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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.