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Finding the Fourth Proportional to 129.15, 193.77 and 81

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Solution

The fourth proportional to 129.15, 193.77 and 81 is: 121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.15 : 193.77 = 81 : x
  2. Step 2: Convert to fraction form
    129.15/193.77 = 81/x
  3. Step 3: Cross multiply
    129.15x = 193.77 × 81
  4. Step 4: Simplify right side
    129.15x = 15,695.37
  5. Step 5: Solve for x
    x = 15,695.37/129.15
  6. Step 6: Final answer
    x = 121.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.