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Finding the Fourth Proportional to 172.23, 237.65 and 106.75

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Solution

The fourth proportional to 172.23, 237.65 and 106.75 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 237.65 = 106.75 : x
  2. Step 2: Convert to fraction form
    172.23/237.65 = 106.75/x
  3. Step 3: Cross multiply
    172.23x = 237.65 × 106.75
  4. Step 4: Simplify right side
    172.23x = 25,368.60
  5. Step 5: Solve for x
    x = 25,368.60/172.23
  6. Step 6: Final answer
    x = 147.29

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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.