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Finding the Fourth Proportional to 27.33, 37.72 and 16.42

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Solution

The fourth proportional to 27.33, 37.72 and 16.42 is: 22.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.33 : 37.72 = 16.42 : x
  2. Step 2: Convert to fraction form
    27.33/37.72 = 16.42/x
  3. Step 3: Cross multiply
    27.33x = 37.72 × 16.42
  4. Step 4: Simplify right side
    27.33x = 619.36
  5. Step 5: Solve for x
    x = 619.36/27.33
  6. Step 6: Final answer
    x = 22.66

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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.