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Finding the Fourth Proportional to 27.29, 37.64 and 16.37

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Solution

The fourth proportional to 27.29, 37.64 and 16.37 is: 22.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.29 : 37.64 = 16.37 : x
  2. Step 2: Convert to fraction form
    27.29/37.64 = 16.37/x
  3. Step 3: Cross multiply
    27.29x = 37.64 × 16.37
  4. Step 4: Simplify right side
    27.29x = 616.17
  5. Step 5: Solve for x
    x = 616.17/27.29
  6. Step 6: Final answer
    x = 22.58

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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.