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Finding the Fourth Proportional to 150.11, 207.13 and 84.61

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Solution

The fourth proportional to 150.11, 207.13 and 84.61 is: 116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.11 : 207.13 = 84.61 : x
  2. Step 2: Convert to fraction form
    150.11/207.13 = 84.61/x
  3. Step 3: Cross multiply
    150.11x = 207.13 × 84.61
  4. Step 4: Simplify right side
    150.11x = 17,525.27
  5. Step 5: Solve for x
    x = 17,525.27/150.11
  6. Step 6: Final answer
    x = 116.75

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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.