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Finding the Fourth Proportional to 172.47, 237.97 and 114.27

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Solution

The fourth proportional to 172.47, 237.97 and 114.27 is: 157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.47 : 237.97 = 114.27 : x
  2. Step 2: Convert to fraction form
    172.47/237.97 = 114.27/x
  3. Step 3: Cross multiply
    172.47x = 237.97 × 114.27
  4. Step 4: Simplify right side
    172.47x = 27,192.83
  5. Step 5: Solve for x
    x = 27,192.83/172.47
  6. Step 6: Final answer
    x = 157.67

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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.