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Finding the Fourth Proportional to 151.37, 208.90 and 85.88

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Solution

The fourth proportional to 151.37, 208.90 and 85.88 is: 118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.37 : 208.90 = 85.88 : x
  2. Step 2: Convert to fraction form
    151.37/208.90 = 85.88/x
  3. Step 3: Cross multiply
    151.37x = 208.90 × 85.88
  4. Step 4: Simplify right side
    151.37x = 17,940.33
  5. Step 5: Solve for x
    x = 17,940.33/151.37
  6. Step 6: Final answer
    x = 118.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.