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Finding the Fourth Proportional to 172.28, 237.80 and 114.06

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Solution

The fourth proportional to 172.28, 237.80 and 114.06 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.28 : 237.80 = 114.06 : x
  2. Step 2: Convert to fraction form
    172.28/237.80 = 114.06/x
  3. Step 3: Cross multiply
    172.28x = 237.80 × 114.06
  4. Step 4: Simplify right side
    172.28x = 27,123.47
  5. Step 5: Solve for x
    x = 27,123.47/172.28
  6. Step 6: Final answer
    x = 157.44

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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.