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Finding the Fourth Proportional to 119.70, 164.91 and 101.22

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Solution

The fourth proportional to 119.70, 164.91 and 101.22 is: 139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 164.91 = 101.22 : x
  2. Step 2: Convert to fraction form
    119.70/164.91 = 101.22/x
  3. Step 3: Cross multiply
    119.70x = 164.91 × 101.22
  4. Step 4: Simplify right side
    119.70x = 16,692.19
  5. Step 5: Solve for x
    x = 16,692.19/119.70
  6. Step 6: Final answer
    x = 139.45

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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.