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Finding the Fourth Proportional to 150.89, 208.16 and 88.61

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Solution

The fourth proportional to 150.89, 208.16 and 88.61 is: 122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.89 : 208.16 = 88.61 : x
  2. Step 2: Convert to fraction form
    150.89/208.16 = 88.61/x
  3. Step 3: Cross multiply
    150.89x = 208.16 × 88.61
  4. Step 4: Simplify right side
    150.89x = 18,445.06
  5. Step 5: Solve for x
    x = 18,445.06/150.89
  6. Step 6: Final answer
    x = 122.24

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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.