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Finding the Fourth Proportional to 161.93, 242.91 and 75.26

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Solution

The fourth proportional to 161.93, 242.91 and 75.26 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 242.91 = 75.26 : x
  2. Step 2: Convert to fraction form
    161.93/242.91 = 75.26/x
  3. Step 3: Cross multiply
    161.93x = 242.91 × 75.26
  4. Step 4: Simplify right side
    161.93x = 18,280.19
  5. Step 5: Solve for x
    x = 18,280.19/161.93
  6. Step 6: Final answer
    x = 112.89

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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.