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Finding the Fourth Proportional to 160.57, 221.70 and 111.57

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Solution

The fourth proportional to 160.57, 221.70 and 111.57 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.57 : 221.70 = 111.57 : x
  2. Step 2: Convert to fraction form
    160.57/221.70 = 111.57/x
  3. Step 3: Cross multiply
    160.57x = 221.70 × 111.57
  4. Step 4: Simplify right side
    160.57x = 24,735.07
  5. Step 5: Solve for x
    x = 24,735.07/160.57
  6. Step 6: Final answer
    x = 154.05

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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.