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Finding the Fourth Proportional to 153.45, 229.64 and 105.39

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Solution

The fourth proportional to 153.45, 229.64 and 105.39 is: 157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.45 : 229.64 = 105.39 : x
  2. Step 2: Convert to fraction form
    153.45/229.64 = 105.39/x
  3. Step 3: Cross multiply
    153.45x = 229.64 × 105.39
  4. Step 4: Simplify right side
    153.45x = 24,201.23
  5. Step 5: Solve for x
    x = 24,201.23/153.45
  6. Step 6: Final answer
    x = 157.71

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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.