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Finding the Fourth Proportional to 160.13, 220.98 and 94.67

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Solution

The fourth proportional to 160.13, 220.98 and 94.67 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.13 : 220.98 = 94.67 : x
  2. Step 2: Convert to fraction form
    160.13/220.98 = 94.67/x
  3. Step 3: Cross multiply
    160.13x = 220.98 × 94.67
  4. Step 4: Simplify right side
    160.13x = 20,919.72
  5. Step 5: Solve for x
    x = 20,919.72/160.13
  6. Step 6: Final answer
    x = 130.64

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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.