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Finding the Fourth Proportional to 92.24, 138.19 and 84.72

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Solution

The fourth proportional to 92.24, 138.19 and 84.72 is: 126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 138.19 = 84.72 : x
  2. Step 2: Convert to fraction form
    92.24/138.19 = 84.72/x
  3. Step 3: Cross multiply
    92.24x = 138.19 × 84.72
  4. Step 4: Simplify right side
    92.24x = 11,707.46
  5. Step 5: Solve for x
    x = 11,707.46/92.24
  6. Step 6: Final answer
    x = 126.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.