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Finding the Fourth Proportional to 119.89, 165.54 and 87.22

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Solution

The fourth proportional to 119.89, 165.54 and 87.22 is: 120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.89 : 165.54 = 87.22 : x
  2. Step 2: Convert to fraction form
    119.89/165.54 = 87.22/x
  3. Step 3: Cross multiply
    119.89x = 165.54 × 87.22
  4. Step 4: Simplify right side
    119.89x = 14,438.40
  5. Step 5: Solve for x
    x = 14,438.40/119.89
  6. Step 6: Final answer
    x = 120.43

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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.