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Finding the Fourth Proportional to 119.86, 165.49 and 99.21

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Solution

The fourth proportional to 119.86, 165.49 and 99.21 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.86 : 165.49 = 99.21 : x
  2. Step 2: Convert to fraction form
    119.86/165.49 = 99.21/x
  3. Step 3: Cross multiply
    119.86x = 165.49 × 99.21
  4. Step 4: Simplify right side
    119.86x = 16,418.26
  5. Step 5: Solve for x
    x = 16,418.26/119.86
  6. Step 6: Final answer
    x = 136.98

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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.