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Finding the Fourth Proportional to 151.18, 208.67 and 89.02

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Solution

The fourth proportional to 151.18, 208.67 and 89.02 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 208.67 = 89.02 : x
  2. Step 2: Convert to fraction form
    151.18/208.67 = 89.02/x
  3. Step 3: Cross multiply
    151.18x = 208.67 × 89.02
  4. Step 4: Simplify right side
    151.18x = 18,574.31
  5. Step 5: Solve for x
    x = 18,574.31/151.18
  6. Step 6: Final answer
    x = 122.87

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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.