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Finding the Fourth Proportional to 22.65, 31.24 and 16.10

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Solution

The fourth proportional to 22.65, 31.24 and 16.10 is: 22.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.65 : 31.24 = 16.10 : x
  2. Step 2: Convert to fraction form
    22.65/31.24 = 16.10/x
  3. Step 3: Cross multiply
    22.65x = 31.24 × 16.10
  4. Step 4: Simplify right side
    22.65x = 502.95
  5. Step 5: Solve for x
    x = 502.95/22.65
  6. Step 6: Final answer
    x = 22.21

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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.