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Finding the Fourth Proportional to 151.68, 209.20 and 105.07

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Solution

The fourth proportional to 151.68, 209.20 and 105.07 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.20 = 105.07 : x
  2. Step 2: Convert to fraction form
    151.68/209.20 = 105.07/x
  3. Step 3: Cross multiply
    151.68x = 209.20 × 105.07
  4. Step 4: Simplify right side
    151.68x = 21,980.64
  5. Step 5: Solve for x
    x = 21,980.64/151.68
  6. Step 6: Final answer
    x = 144.91

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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.