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Finding the Fourth Proportional to 129.83, 193.27 and 129.14

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Solution

The fourth proportional to 129.83, 193.27 and 129.14 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.83 : 193.27 = 129.14 : x
  2. Step 2: Convert to fraction form
    129.83/193.27 = 129.14/x
  3. Step 3: Cross multiply
    129.83x = 193.27 × 129.14
  4. Step 4: Simplify right side
    129.83x = 24,959.53
  5. Step 5: Solve for x
    x = 24,959.53/129.83
  6. Step 6: Final answer
    x = 192.25

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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.