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Finding the Fourth Proportional to 160.68, 221.77 and 90.77

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Solution

The fourth proportional to 160.68, 221.77 and 90.77 is: 125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 221.77 = 90.77 : x
  2. Step 2: Convert to fraction form
    160.68/221.77 = 90.77/x
  3. Step 3: Cross multiply
    160.68x = 221.77 × 90.77
  4. Step 4: Simplify right side
    160.68x = 20,129.61
  5. Step 5: Solve for x
    x = 20,129.61/160.68
  6. Step 6: Final answer
    x = 125.28

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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.