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Finding the Fourth Proportional to 137.25, 205.74 and 83.16

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Solution

The fourth proportional to 137.25, 205.74 and 83.16 is: 124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 205.74 = 83.16 : x
  2. Step 2: Convert to fraction form
    137.25/205.74 = 83.16/x
  3. Step 3: Cross multiply
    137.25x = 205.74 × 83.16
  4. Step 4: Simplify right side
    137.25x = 17,109.34
  5. Step 5: Solve for x
    x = 17,109.34/137.25
  6. Step 6: Final answer
    x = 124.66

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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.