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Finding the Fourth Proportional to 150.77, 208.06 and 85.27

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Solution

The fourth proportional to 150.77, 208.06 and 85.27 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.77 : 208.06 = 85.27 : x
  2. Step 2: Convert to fraction form
    150.77/208.06 = 85.27/x
  3. Step 3: Cross multiply
    150.77x = 208.06 × 85.27
  4. Step 4: Simplify right side
    150.77x = 17,741.79
  5. Step 5: Solve for x
    x = 17,741.79/150.77
  6. Step 6: Final answer
    x = 117.68

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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.