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Finding the Fourth Proportional to 119.83, 165.38 and 70.70

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Solution

The fourth proportional to 119.83, 165.38 and 70.70 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.83 : 165.38 = 70.70 : x
  2. Step 2: Convert to fraction form
    119.83/165.38 = 70.70/x
  3. Step 3: Cross multiply
    119.83x = 165.38 × 70.70
  4. Step 4: Simplify right side
    119.83x = 11,692.37
  5. Step 5: Solve for x
    x = 11,692.37/119.83
  6. Step 6: Final answer
    x = 97.58

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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.