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Finding the Fourth Proportional to 159.24, 219.80 and 107.52

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Solution

The fourth proportional to 159.24, 219.80 and 107.52 is: 148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 219.80 = 107.52 : x
  2. Step 2: Convert to fraction form
    159.24/219.80 = 107.52/x
  3. Step 3: Cross multiply
    159.24x = 219.80 × 107.52
  4. Step 4: Simplify right side
    159.24x = 23,632.90
  5. Step 5: Solve for x
    x = 23,632.90/159.24
  6. Step 6: Final answer
    x = 148.41

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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.