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Finding the Fourth Proportional to 160.16, 220.99 and 94.67

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Solution

The fourth proportional to 160.16, 220.99 and 94.67 is: 130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 220.99 = 94.67 : x
  2. Step 2: Convert to fraction form
    160.16/220.99 = 94.67/x
  3. Step 3: Cross multiply
    160.16x = 220.99 × 94.67
  4. Step 4: Simplify right side
    160.16x = 20,921.12
  5. Step 5: Solve for x
    x = 20,921.12/160.16
  6. Step 6: Final answer
    x = 130.63

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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.