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Finding the Fourth Proportional to 92.82, 138.65 and 91.11

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Solution

The fourth proportional to 92.82, 138.65 and 91.11 is: 136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 138.65 = 91.11 : x
  2. Step 2: Convert to fraction form
    92.82/138.65 = 91.11/x
  3. Step 3: Cross multiply
    92.82x = 138.65 × 91.11
  4. Step 4: Simplify right side
    92.82x = 12,632.38
  5. Step 5: Solve for x
    x = 12,632.38/92.82
  6. Step 6: Final answer
    x = 136.10

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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.