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Finding the Fourth Proportional to 129.06, 192.65 and 112.06

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Solution

The fourth proportional to 129.06, 192.65 and 112.06 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 192.65 = 112.06 : x
  2. Step 2: Convert to fraction form
    129.06/192.65 = 112.06/x
  3. Step 3: Cross multiply
    129.06x = 192.65 × 112.06
  4. Step 4: Simplify right side
    129.06x = 21,587.80
  5. Step 5: Solve for x
    x = 21,587.80/129.06
  6. Step 6: Final answer
    x = 167.27

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Why These Related Problems?

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