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Finding the Fourth Proportional to 147.97, 204.31 and 120.29

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Solution

The fourth proportional to 147.97, 204.31 and 120.29 is: 166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.97 : 204.31 = 120.29 : x
  2. Step 2: Convert to fraction form
    147.97/204.31 = 120.29/x
  3. Step 3: Cross multiply
    147.97x = 204.31 × 120.29
  4. Step 4: Simplify right side
    147.97x = 24,577.11
  5. Step 5: Solve for x
    x = 24,577.11/147.97
  6. Step 6: Final answer
    x = 166.10

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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.