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Finding the Fourth Proportional to 160.93, 222.07 and 95.42

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Solution

The fourth proportional to 160.93, 222.07 and 95.42 is: 131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.93 : 222.07 = 95.42 : x
  2. Step 2: Convert to fraction form
    160.93/222.07 = 95.42/x
  3. Step 3: Cross multiply
    160.93x = 222.07 × 95.42
  4. Step 4: Simplify right side
    160.93x = 21,189.92
  5. Step 5: Solve for x
    x = 21,189.92/160.93
  6. Step 6: Final answer
    x = 131.67

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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.