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Finding the Fourth Proportional to 161.72, 243.53 and 116.39

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Solution

The fourth proportional to 161.72, 243.53 and 116.39 is: 175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.72 : 243.53 = 116.39 : x
  2. Step 2: Convert to fraction form
    161.72/243.53 = 116.39/x
  3. Step 3: Cross multiply
    161.72x = 243.53 × 116.39
  4. Step 4: Simplify right side
    161.72x = 28,343.88
  5. Step 5: Solve for x
    x = 28,343.88/161.72
  6. Step 6: Final answer
    x = 175.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.