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Finding the Fourth Proportional to 119.86, 165.51 and 81.16

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Solution

The fourth proportional to 119.86, 165.51 and 81.16 is: 112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.86 : 165.51 = 81.16 : x
  2. Step 2: Convert to fraction form
    119.86/165.51 = 81.16/x
  3. Step 3: Cross multiply
    119.86x = 165.51 × 81.16
  4. Step 4: Simplify right side
    119.86x = 13,432.79
  5. Step 5: Solve for x
    x = 13,432.79/119.86
  6. Step 6: Final answer
    x = 112.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.