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Finding the Fourth Proportional to 172.19, 237.82 and 116.83

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Solution

The fourth proportional to 172.19, 237.82 and 116.83 is: 161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 237.82 = 116.83 : x
  2. Step 2: Convert to fraction form
    172.19/237.82 = 116.83/x
  3. Step 3: Cross multiply
    172.19x = 237.82 × 116.83
  4. Step 4: Simplify right side
    172.19x = 27,784.51
  5. Step 5: Solve for x
    x = 27,784.51/172.19
  6. Step 6: Final answer
    x = 161.36

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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.