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Finding the Fourth Proportional to 172.55, 238.10 and 106.17

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Solution

The fourth proportional to 172.55, 238.10 and 106.17 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.55 : 238.10 = 106.17 : x
  2. Step 2: Convert to fraction form
    172.55/238.10 = 106.17/x
  3. Step 3: Cross multiply
    172.55x = 238.10 × 106.17
  4. Step 4: Simplify right side
    172.55x = 25,278.55
  5. Step 5: Solve for x
    x = 25,278.55/172.55
  6. Step 6: Final answer
    x = 146.50

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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.