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Finding the Fourth Proportional to 119.90, 165.51 and 84.96

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Solution

The fourth proportional to 119.90, 165.51 and 84.96 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.90 : 165.51 = 84.96 : x
  2. Step 2: Convert to fraction form
    119.90/165.51 = 84.96/x
  3. Step 3: Cross multiply
    119.90x = 165.51 × 84.96
  4. Step 4: Simplify right side
    119.90x = 14,061.73
  5. Step 5: Solve for x
    x = 14,061.73/119.90
  6. Step 6: Final answer
    x = 117.28

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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.