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Finding the Fourth Proportional to 113.09, 155.70 and 109.23

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Solution

The fourth proportional to 113.09, 155.70 and 109.23 is: 150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 155.70 = 109.23 : x
  2. Step 2: Convert to fraction form
    113.09/155.70 = 109.23/x
  3. Step 3: Cross multiply
    113.09x = 155.70 × 109.23
  4. Step 4: Simplify right side
    113.09x = 17,007.11
  5. Step 5: Solve for x
    x = 17,007.11/113.09
  6. Step 6: Final answer
    x = 150.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.