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Finding the Fourth Proportional to 92.18, 138.81 and 66.68

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Solution

The fourth proportional to 92.18, 138.81 and 66.68 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.18 : 138.81 = 66.68 : x
  2. Step 2: Convert to fraction form
    92.18/138.81 = 66.68/x
  3. Step 3: Cross multiply
    92.18x = 138.81 × 66.68
  4. Step 4: Simplify right side
    92.18x = 9,256.20
  5. Step 5: Solve for x
    x = 9,256.20/92.18
  6. Step 6: Final answer
    x = 100.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.