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Finding the Fourth Proportional to 160.77, 221.75 and 105.49

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Solution

The fourth proportional to 160.77, 221.75 and 105.49 is: 145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 221.75 = 105.49 : x
  2. Step 2: Convert to fraction form
    160.77/221.75 = 105.49/x
  3. Step 3: Cross multiply
    160.77x = 221.75 × 105.49
  4. Step 4: Simplify right side
    160.77x = 23,392.41
  5. Step 5: Solve for x
    x = 23,392.41/160.77
  6. Step 6: Final answer
    x = 145.50

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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.