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Finding the Fourth Proportional to 172.76, 258.93 and 81.50

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Solution

The fourth proportional to 172.76, 258.93 and 81.50 is: 122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 258.93 = 81.50 : x
  2. Step 2: Convert to fraction form
    172.76/258.93 = 81.50/x
  3. Step 3: Cross multiply
    172.76x = 258.93 × 81.50
  4. Step 4: Simplify right side
    172.76x = 21,101.50
  5. Step 5: Solve for x
    x = 21,101.50/172.76
  6. Step 6: Final answer
    x = 122.15

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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.