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Finding the Fourth Proportional to 153.09, 230.04 and 107.33

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Solution

The fourth proportional to 153.09, 230.04 and 107.33 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 230.04 = 107.33 : x
  2. Step 2: Convert to fraction form
    153.09/230.04 = 107.33/x
  3. Step 3: Cross multiply
    153.09x = 230.04 × 107.33
  4. Step 4: Simplify right side
    153.09x = 24,689.04
  5. Step 5: Solve for x
    x = 24,689.04/153.09
  6. Step 6: Final answer
    x = 161.27

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