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Finding the Fourth Proportional to 150.12, 207.15 and 84.61

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Solution

The fourth proportional to 150.12, 207.15 and 84.61 is: 116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 207.15 = 84.61 : x
  2. Step 2: Convert to fraction form
    150.12/207.15 = 84.61/x
  3. Step 3: Cross multiply
    150.12x = 207.15 × 84.61
  4. Step 4: Simplify right side
    150.12x = 17,527.22
  5. Step 5: Solve for x
    x = 17,527.22/150.12
  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.