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Finding the Fourth Proportional to 161.93, 242.72 and 75.16

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Solution

The fourth proportional to 161.93, 242.72 and 75.16 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 242.72 = 75.16 : x
  2. Step 2: Convert to fraction form
    161.93/242.72 = 75.16/x
  3. Step 3: Cross multiply
    161.93x = 242.72 × 75.16
  4. Step 4: Simplify right side
    161.93x = 18,241.85
  5. Step 5: Solve for x
    x = 18,241.85/161.93
  6. Step 6: Final answer
    x = 112.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.