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Finding the Fourth Proportional to 114.08, 172.04 and 112.48

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Solution

The fourth proportional to 114.08, 172.04 and 112.48 is: 169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 172.04 = 112.48 : x
  2. Step 2: Convert to fraction form
    114.08/172.04 = 112.48/x
  3. Step 3: Cross multiply
    114.08x = 172.04 × 112.48
  4. Step 4: Simplify right side
    114.08x = 19,351.06
  5. Step 5: Solve for x
    x = 19,351.06/114.08
  6. Step 6: Final answer
    x = 169.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.