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Finding the Fourth Proportional to 151.89, 209.50 and 105.18

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Solution

The fourth proportional to 151.89, 209.50 and 105.18 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.89 : 209.50 = 105.18 : x
  2. Step 2: Convert to fraction form
    151.89/209.50 = 105.18/x
  3. Step 3: Cross multiply
    151.89x = 209.50 × 105.18
  4. Step 4: Simplify right side
    151.89x = 22,035.21
  5. Step 5: Solve for x
    x = 22,035.21/151.89
  6. Step 6: Final answer
    x = 145.07

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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.