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Finding the Fourth Proportional to 160.42, 221.54 and 138.24

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Solution

The fourth proportional to 160.42, 221.54 and 138.24 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 221.54 = 138.24 : x
  2. Step 2: Convert to fraction form
    160.42/221.54 = 138.24/x
  3. Step 3: Cross multiply
    160.42x = 221.54 × 138.24
  4. Step 4: Simplify right side
    160.42x = 30,625.00
  5. Step 5: Solve for x
    x = 30,625.00/160.42
  6. Step 6: Final answer
    x = 190.91

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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.