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Finding the Fourth Proportional to 172.22, 237.60 and 98.50

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Solution

The fourth proportional to 172.22, 237.60 and 98.50 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 237.60 = 98.50 : x
  2. Step 2: Convert to fraction form
    172.22/237.60 = 98.50/x
  3. Step 3: Cross multiply
    172.22x = 237.60 × 98.50
  4. Step 4: Simplify right side
    172.22x = 23,404.08
  5. Step 5: Solve for x
    x = 23,404.08/172.22
  6. Step 6: Final answer
    x = 135.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.