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Finding the Fourth Proportional to 137.66, 188.96 and 121.24

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Solution

The fourth proportional to 137.66, 188.96 and 121.24 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 188.96 = 121.24 : x
  2. Step 2: Convert to fraction form
    137.66/188.96 = 121.24/x
  3. Step 3: Cross multiply
    137.66x = 188.96 × 121.24
  4. Step 4: Simplify right side
    137.66x = 22,909.51
  5. Step 5: Solve for x
    x = 22,909.51/137.66
  6. Step 6: Final answer
    x = 166.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.