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Finding the Fourth Proportional to 92.36, 138.68 and 85.16

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Solution

The fourth proportional to 92.36, 138.68 and 85.16 is: 127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.36 : 138.68 = 85.16 : x
  2. Step 2: Convert to fraction form
    92.36/138.68 = 85.16/x
  3. Step 3: Cross multiply
    92.36x = 138.68 × 85.16
  4. Step 4: Simplify right side
    92.36x = 11,809.99
  5. Step 5: Solve for x
    x = 11,809.99/92.36
  6. Step 6: Final answer
    x = 127.87

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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.