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Finding the Fourth Proportional to 153.12, 230.04 and 121.44

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Solution

The fourth proportional to 153.12, 230.04 and 121.44 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 230.04 = 121.44 : x
  2. Step 2: Convert to fraction form
    153.12/230.04 = 121.44/x
  3. Step 3: Cross multiply
    153.12x = 230.04 × 121.44
  4. Step 4: Simplify right side
    153.12x = 27,936.06
  5. Step 5: Solve for x
    x = 27,936.06/153.12
  6. Step 6: Final answer
    x = 182.45

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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.