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Finding the Fourth Proportional to 160.42, 221.42 and 94.04

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Solution

The fourth proportional to 160.42, 221.42 and 94.04 is: 129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 221.42 = 94.04 : x
  2. Step 2: Convert to fraction form
    160.42/221.42 = 94.04/x
  3. Step 3: Cross multiply
    160.42x = 221.42 × 94.04
  4. Step 4: Simplify right side
    160.42x = 20,822.34
  5. Step 5: Solve for x
    x = 20,822.34/160.42
  6. Step 6: Final answer
    x = 129.80

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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.