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Finding the Fourth Proportional to 160.05, 220.84 and 94.55

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Solution

The fourth proportional to 160.05, 220.84 and 94.55 is: 130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 220.84 = 94.55 : x
  2. Step 2: Convert to fraction form
    160.05/220.84 = 94.55/x
  3. Step 3: Cross multiply
    160.05x = 220.84 × 94.55
  4. Step 4: Simplify right side
    160.05x = 20,880.42
  5. Step 5: Solve for x
    x = 20,880.42/160.05
  6. Step 6: Final answer
    x = 130.46

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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.