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Finding the Fourth Proportional to 151.23, 208.69 and 89.05

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Solution

The fourth proportional to 151.23, 208.69 and 89.05 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 208.69 = 89.05 : x
  2. Step 2: Convert to fraction form
    151.23/208.69 = 89.05/x
  3. Step 3: Cross multiply
    151.23x = 208.69 × 89.05
  4. Step 4: Simplify right side
    151.23x = 18,583.80
  5. Step 5: Solve for x
    x = 18,583.80/151.23
  6. Step 6: Final answer
    x = 122.88

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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.