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Finding the Fourth Proportional to 150.60, 207.81 and 85.09

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Solution

The fourth proportional to 150.60, 207.81 and 85.09 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.60 : 207.81 = 85.09 : x
  2. Step 2: Convert to fraction form
    150.60/207.81 = 85.09/x
  3. Step 3: Cross multiply
    150.60x = 207.81 × 85.09
  4. Step 4: Simplify right side
    150.60x = 17,682.55
  5. Step 5: Solve for x
    x = 17,682.55/150.60
  6. Step 6: Final answer
    x = 117.41

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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.