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Finding the Fourth Proportional to 115.43, 172.01 and 112.13

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Solution

The fourth proportional to 115.43, 172.01 and 112.13 is: 167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.43 : 172.01 = 112.13 : x
  2. Step 2: Convert to fraction form
    115.43/172.01 = 112.13/x
  3. Step 3: Cross multiply
    115.43x = 172.01 × 112.13
  4. Step 4: Simplify right side
    115.43x = 19,287.48
  5. Step 5: Solve for x
    x = 19,287.48/115.43
  6. Step 6: Final answer
    x = 167.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.