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Finding the Fourth Proportional to 102.72, 154.67 and 92.68

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Solution

The fourth proportional to 102.72, 154.67 and 92.68 is: 139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.72 : 154.67 = 92.68 : x
  2. Step 2: Convert to fraction form
    102.72/154.67 = 92.68/x
  3. Step 3: Cross multiply
    102.72x = 154.67 × 92.68
  4. Step 4: Simplify right side
    102.72x = 14,334.82
  5. Step 5: Solve for x
    x = 14,334.82/102.72
  6. Step 6: Final answer
    x = 139.55

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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.