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Finding the Fourth Proportional to 151.45, 208.97 and 89.29

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Solution

The fourth proportional to 151.45, 208.97 and 89.29 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.45 : 208.97 = 89.29 : x
  2. Step 2: Convert to fraction form
    151.45/208.97 = 89.29/x
  3. Step 3: Cross multiply
    151.45x = 208.97 × 89.29
  4. Step 4: Simplify right side
    151.45x = 18,659.08
  5. Step 5: Solve for x
    x = 18,659.08/151.45
  6. Step 6: Final answer
    x = 123.20

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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.