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Finding the Fourth Proportional to 172.17, 237.63 and 117.06

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Solution

The fourth proportional to 172.17, 237.63 and 117.06 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 237.63 = 117.06 : x
  2. Step 2: Convert to fraction form
    172.17/237.63 = 117.06/x
  3. Step 3: Cross multiply
    172.17x = 237.63 × 117.06
  4. Step 4: Simplify right side
    172.17x = 27,816.97
  5. Step 5: Solve for x
    x = 27,816.97/172.17
  6. Step 6: Final answer
    x = 161.57

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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.