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Finding the Fourth Proportional to 119.82, 165.46 and 87.16

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Solution

The fourth proportional to 119.82, 165.46 and 87.16 is: 120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 165.46 = 87.16 : x
  2. Step 2: Convert to fraction form
    119.82/165.46 = 87.16/x
  3. Step 3: Cross multiply
    119.82x = 165.46 × 87.16
  4. Step 4: Simplify right side
    119.82x = 14,421.49
  5. Step 5: Solve for x
    x = 14,421.49/119.82
  6. Step 6: Final answer
    x = 120.36

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Why These Related Problems?

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