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Finding the Fourth Proportional to 153.09, 229.16 and 109.69

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Solution

The fourth proportional to 153.09, 229.16 and 109.69 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 229.16 = 109.69 : x
  2. Step 2: Convert to fraction form
    153.09/229.16 = 109.69/x
  3. Step 3: Cross multiply
    153.09x = 229.16 × 109.69
  4. Step 4: Simplify right side
    153.09x = 25,136.26
  5. Step 5: Solve for x
    x = 25,136.26/153.09
  6. Step 6: Final answer
    x = 164.19

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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.