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Finding the Fourth Proportional to 22.42, 30.91 and 16.58

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Solution

The fourth proportional to 22.42, 30.91 and 16.58 is: 22.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 30.91 = 16.58 : x
  2. Step 2: Convert to fraction form
    22.42/30.91 = 16.58/x
  3. Step 3: Cross multiply
    22.42x = 30.91 × 16.58
  4. Step 4: Simplify right side
    22.42x = 512.49
  5. Step 5: Solve for x
    x = 512.49/22.42
  6. Step 6: Final answer
    x = 22.86

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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.