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Finding the Fourth Proportional to 119.88, 165.36 and 73.27

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Solution

The fourth proportional to 119.88, 165.36 and 73.27 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.88 : 165.36 = 73.27 : x
  2. Step 2: Convert to fraction form
    119.88/165.36 = 73.27/x
  3. Step 3: Cross multiply
    119.88x = 165.36 × 73.27
  4. Step 4: Simplify right side
    119.88x = 12,115.93
  5. Step 5: Solve for x
    x = 12,115.93/119.88
  6. Step 6: Final answer
    x = 101.07

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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.