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Finding the Fourth Proportional to 172.03, 237.35 and 106.46

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Solution

The fourth proportional to 172.03, 237.35 and 106.46 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.03 : 237.35 = 106.46 : x
  2. Step 2: Convert to fraction form
    172.03/237.35 = 106.46/x
  3. Step 3: Cross multiply
    172.03x = 237.35 × 106.46
  4. Step 4: Simplify right side
    172.03x = 25,267.75
  5. Step 5: Solve for x
    x = 25,267.75/172.03
  6. Step 6: Final answer
    x = 146.88

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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.