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Finding the Fourth Proportional to 160.77, 241.20 and 87.69

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Solution

The fourth proportional to 160.77, 241.20 and 87.69 is: 131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 241.20 = 87.69 : x
  2. Step 2: Convert to fraction form
    160.77/241.20 = 87.69/x
  3. Step 3: Cross multiply
    160.77x = 241.20 × 87.69
  4. Step 4: Simplify right side
    160.77x = 21,150.83
  5. Step 5: Solve for x
    x = 21,150.83/160.77
  6. Step 6: Final answer
    x = 131.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.