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Finding the Fourth Proportional to 153.19, 229.69 and 105.09

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Solution

The fourth proportional to 153.19, 229.69 and 105.09 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 229.69 = 105.09 : x
  2. Step 2: Convert to fraction form
    153.19/229.69 = 105.09/x
  3. Step 3: Cross multiply
    153.19x = 229.69 × 105.09
  4. Step 4: Simplify right side
    153.19x = 24,138.12
  5. Step 5: Solve for x
    x = 24,138.12/153.19
  6. Step 6: Final answer
    x = 157.57

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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.