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Finding the Fourth Proportional to 121.82, 181.52 and 117.94

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Solution

The fourth proportional to 121.82, 181.52 and 117.94 is: 175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.82 : 181.52 = 117.94 : x
  2. Step 2: Convert to fraction form
    121.82/181.52 = 117.94/x
  3. Step 3: Cross multiply
    121.82x = 181.52 × 117.94
  4. Step 4: Simplify right side
    121.82x = 21,408.47
  5. Step 5: Solve for x
    x = 21,408.47/121.82
  6. Step 6: Final answer
    x = 175.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.