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Finding the Fourth Proportional to 160.42, 221.38 and 98.23

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Solution

The fourth proportional to 160.42, 221.38 and 98.23 is: 135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 221.38 = 98.23 : x
  2. Step 2: Convert to fraction form
    160.42/221.38 = 98.23/x
  3. Step 3: Cross multiply
    160.42x = 221.38 × 98.23
  4. Step 4: Simplify right side
    160.42x = 21,746.16
  5. Step 5: Solve for x
    x = 21,746.16/160.42
  6. Step 6: Final answer
    x = 135.56

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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.