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Finding the Fourth Proportional to 172.29, 237.84 and 106.89

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Solution

The fourth proportional to 172.29, 237.84 and 106.89 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 237.84 = 106.89 : x
  2. Step 2: Convert to fraction form
    172.29/237.84 = 106.89/x
  3. Step 3: Cross multiply
    172.29x = 237.84 × 106.89
  4. Step 4: Simplify right side
    172.29x = 25,422.72
  5. Step 5: Solve for x
    x = 25,422.72/172.29
  6. Step 6: Final answer
    x = 147.56

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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.