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Finding the Fourth Proportional to 153.06, 229.92 and 107.28

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Solution

The fourth proportional to 153.06, 229.92 and 107.28 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 229.92 = 107.28 : x
  2. Step 2: Convert to fraction form
    153.06/229.92 = 107.28/x
  3. Step 3: Cross multiply
    153.06x = 229.92 × 107.28
  4. Step 4: Simplify right side
    153.06x = 24,665.82
  5. Step 5: Solve for x
    x = 24,665.82/153.06
  6. Step 6: Final answer
    x = 161.15

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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.