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Finding the Fourth Proportional to 22.52, 31.07 and 16.37

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Solution

The fourth proportional to 22.52, 31.07 and 16.37 is: 22.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.52 : 31.07 = 16.37 : x
  2. Step 2: Convert to fraction form
    22.52/31.07 = 16.37/x
  3. Step 3: Cross multiply
    22.52x = 31.07 × 16.37
  4. Step 4: Simplify right side
    22.52x = 508.41
  5. Step 5: Solve for x
    x = 508.41/22.52
  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.