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Finding the Fourth Proportional to 150.49, 207.68 and 100.61

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Solution

The fourth proportional to 150.49, 207.68 and 100.61 is: 138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.49 : 207.68 = 100.61 : x
  2. Step 2: Convert to fraction form
    150.49/207.68 = 100.61/x
  3. Step 3: Cross multiply
    150.49x = 207.68 × 100.61
  4. Step 4: Simplify right side
    150.49x = 20,894.68
  5. Step 5: Solve for x
    x = 20,894.68/150.49
  6. Step 6: Final answer
    x = 138.84

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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.