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Finding the Fourth Proportional to 172.67, 258.66 and 91.40

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Solution

The fourth proportional to 172.67, 258.66 and 91.40 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.67 : 258.66 = 91.40 : x
  2. Step 2: Convert to fraction form
    172.67/258.66 = 91.40/x
  3. Step 3: Cross multiply
    172.67x = 258.66 × 91.40
  4. Step 4: Simplify right side
    172.67x = 23,640.23
  5. Step 5: Solve for x
    x = 23,640.23/172.67
  6. Step 6: Final answer
    x = 136.91

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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.