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Finding the Fourth Proportional to 172.46, 237.99 and 98.77

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Solution

The fourth proportional to 172.46, 237.99 and 98.77 is: 136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 237.99 = 98.77 : x
  2. Step 2: Convert to fraction form
    172.46/237.99 = 98.77/x
  3. Step 3: Cross multiply
    172.46x = 237.99 × 98.77
  4. Step 4: Simplify right side
    172.46x = 23,507.04
  5. Step 5: Solve for x
    x = 23,507.04/172.46
  6. Step 6: Final answer
    x = 136.30

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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.