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Finding the Fourth Proportional to 159.07, 219.69 and 107.23

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Solution

The fourth proportional to 159.07, 219.69 and 107.23 is: 148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.07 : 219.69 = 107.23 : x
  2. Step 2: Convert to fraction form
    159.07/219.69 = 107.23/x
  3. Step 3: Cross multiply
    159.07x = 219.69 × 107.23
  4. Step 4: Simplify right side
    159.07x = 23,557.36
  5. Step 5: Solve for x
    x = 23,557.36/159.07
  6. Step 6: Final answer
    x = 148.09

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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.