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Finding the Fourth Proportional to 161.90, 243.12 and 88.74

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Solution

The fourth proportional to 161.90, 243.12 and 88.74 is: 133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 243.12 = 88.74 : x
  2. Step 2: Convert to fraction form
    161.90/243.12 = 88.74/x
  3. Step 3: Cross multiply
    161.90x = 243.12 × 88.74
  4. Step 4: Simplify right side
    161.90x = 21,574.47
  5. Step 5: Solve for x
    x = 21,574.47/161.90
  6. Step 6: Final answer
    x = 133.26

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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.