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Finding the Fourth Proportional to 150.89, 208.23 and 101.76

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Solution

The fourth proportional to 150.89, 208.23 and 101.76 is: 140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.89 : 208.23 = 101.76 : x
  2. Step 2: Convert to fraction form
    150.89/208.23 = 101.76/x
  3. Step 3: Cross multiply
    150.89x = 208.23 × 101.76
  4. Step 4: Simplify right side
    150.89x = 21,189.48
  5. Step 5: Solve for x
    x = 21,189.48/150.89
  6. Step 6: Final answer
    x = 140.43

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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.