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Finding the Fourth Proportional to 137.74, 190.29 and 117.23

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Solution

The fourth proportional to 137.74, 190.29 and 117.23 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 190.29 = 117.23 : x
  2. Step 2: Convert to fraction form
    137.74/190.29 = 117.23/x
  3. Step 3: Cross multiply
    137.74x = 190.29 × 117.23
  4. Step 4: Simplify right side
    137.74x = 22,307.70
  5. Step 5: Solve for x
    x = 22,307.70/137.74
  6. Step 6: Final answer
    x = 161.96

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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.