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Finding the Fourth Proportional to 147.82, 204.06 and 109

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Solution

The fourth proportional to 147.82, 204.06 and 109 is: 150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 204.06 = 109 : x
  2. Step 2: Convert to fraction form
    147.82/204.06 = 109/x
  3. Step 3: Cross multiply
    147.82x = 204.06 × 109
  4. Step 4: Simplify right side
    147.82x = 22,242.54
  5. Step 5: Solve for x
    x = 22,242.54/147.82
  6. Step 6: Final answer
    x = 150.47

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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.