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Finding the Fourth Proportional to 147.82, 221.77 and 79.33

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Solution

The fourth proportional to 147.82, 221.77 and 79.33 is: 119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 221.77 = 79.33 : x
  2. Step 2: Convert to fraction form
    147.82/221.77 = 79.33/x
  3. Step 3: Cross multiply
    147.82x = 221.77 × 79.33
  4. Step 4: Simplify right side
    147.82x = 17,593.01
  5. Step 5: Solve for x
    x = 17,593.01/147.82
  6. Step 6: Final answer
    x = 119.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.