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Finding the Fourth Proportional to 161.54, 241.97 and 93.03

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Solution

The fourth proportional to 161.54, 241.97 and 93.03 is: 139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.54 : 241.97 = 93.03 : x
  2. Step 2: Convert to fraction form
    161.54/241.97 = 93.03/x
  3. Step 3: Cross multiply
    161.54x = 241.97 × 93.03
  4. Step 4: Simplify right side
    161.54x = 22,510.00
  5. Step 5: Solve for x
    x = 22,510.00/161.54
  6. Step 6: Final answer
    x = 139.35

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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.