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Finding the Fourth Proportional to 137.16, 205.82 and 72.21

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Solution

The fourth proportional to 137.16, 205.82 and 72.21 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 205.82 = 72.21 : x
  2. Step 2: Convert to fraction form
    137.16/205.82 = 72.21/x
  3. Step 3: Cross multiply
    137.16x = 205.82 × 72.21
  4. Step 4: Simplify right side
    137.16x = 14,862.44
  5. Step 5: Solve for x
    x = 14,862.44/137.16
  6. Step 6: Final answer
    x = 108.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.