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Finding the Fourth Proportional to 172.82, 238.58 and 107.31

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Solution

The fourth proportional to 172.82, 238.58 and 107.31 is: 148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 238.58 = 107.31 : x
  2. Step 2: Convert to fraction form
    172.82/238.58 = 107.31/x
  3. Step 3: Cross multiply
    172.82x = 238.58 × 107.31
  4. Step 4: Simplify right side
    172.82x = 25,602.02
  5. Step 5: Solve for x
    x = 25,602.02/172.82
  6. Step 6: Final answer
    x = 148.14

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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.