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Finding the Fourth Proportional to 17.58, 24.22 and 16.20

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Solution

The fourth proportional to 17.58, 24.22 and 16.20 is: 22.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.58 : 24.22 = 16.20 : x
  2. Step 2: Convert to fraction form
    17.58/24.22 = 16.20/x
  3. Step 3: Cross multiply
    17.58x = 24.22 × 16.20
  4. Step 4: Simplify right side
    17.58x = 392.36
  5. Step 5: Solve for x
    x = 392.36/17.58
  6. Step 6: Final answer
    x = 22.32

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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.