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Finding the Fourth Proportional to 151.68, 209.40 and 107.40

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Solution

The fourth proportional to 151.68, 209.40 and 107.40 is: 148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.40 = 107.40 : x
  2. Step 2: Convert to fraction form
    151.68/209.40 = 107.40/x
  3. Step 3: Cross multiply
    151.68x = 209.40 × 107.40
  4. Step 4: Simplify right side
    151.68x = 22,489.56
  5. Step 5: Solve for x
    x = 22,489.56/151.68
  6. Step 6: Final answer
    x = 148.27

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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.