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Finding the Fourth Proportional to 22.98, 31.72 and 14.24

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Solution

The fourth proportional to 22.98, 31.72 and 14.24 is: 19.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.98 : 31.72 = 14.24 : x
  2. Step 2: Convert to fraction form
    22.98/31.72 = 14.24/x
  3. Step 3: Cross multiply
    22.98x = 31.72 × 14.24
  4. Step 4: Simplify right side
    22.98x = 451.69
  5. Step 5: Solve for x
    x = 451.69/22.98
  6. Step 6: Final answer
    x = 19.66

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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.