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Finding the Fourth Proportional to 161.02, 241.36 and 63.46

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Solution

The fourth proportional to 161.02, 241.36 and 63.46 is: 95.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.02 : 241.36 = 63.46 : x
  2. Step 2: Convert to fraction form
    161.02/241.36 = 63.46/x
  3. Step 3: Cross multiply
    161.02x = 241.36 × 63.46
  4. Step 4: Simplify right side
    161.02x = 15,318.02
  5. Step 5: Solve for x
    x = 15,318.02/161.02
  6. Step 6: Final answer
    x = 95.13

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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.