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Finding the Fourth Proportional to 172.28, 237.65 and 106.74

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Solution

The fourth proportional to 172.28, 237.65 and 106.74 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.28 : 237.65 = 106.74 : x
  2. Step 2: Convert to fraction form
    172.28/237.65 = 106.74/x
  3. Step 3: Cross multiply
    172.28x = 237.65 × 106.74
  4. Step 4: Simplify right side
    172.28x = 25,366.23
  5. Step 5: Solve for x
    x = 25,366.23/172.28
  6. Step 6: Final answer
    x = 147.24

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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.