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Finding the Fourth Proportional to 160.51, 221.37 and 113.88

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Solution

The fourth proportional to 160.51, 221.37 and 113.88 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.51 : 221.37 = 113.88 : x
  2. Step 2: Convert to fraction form
    160.51/221.37 = 113.88/x
  3. Step 3: Cross multiply
    160.51x = 221.37 × 113.88
  4. Step 4: Simplify right side
    160.51x = 25,209.62
  5. Step 5: Solve for x
    x = 25,209.62/160.51
  6. Step 6: Final answer
    x = 157.06

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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.