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Finding the Fourth Proportional to 160.58, 221.64 and 116.84

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Solution

The fourth proportional to 160.58, 221.64 and 116.84 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.58 : 221.64 = 116.84 : x
  2. Step 2: Convert to fraction form
    160.58/221.64 = 116.84/x
  3. Step 3: Cross multiply
    160.58x = 221.64 × 116.84
  4. Step 4: Simplify right side
    160.58x = 25,896.53
  5. Step 5: Solve for x
    x = 25,896.53/160.58
  6. Step 6: Final answer
    x = 161.27

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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.