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Finding the Fourth Proportional to 193.09, 266.48 and 105.77

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Solution

The fourth proportional to 193.09, 266.48 and 105.77 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.09 : 266.48 = 105.77 : x
  2. Step 2: Convert to fraction form
    193.09/266.48 = 105.77/x
  3. Step 3: Cross multiply
    193.09x = 266.48 × 105.77
  4. Step 4: Simplify right side
    193.09x = 28,185.59
  5. Step 5: Solve for x
    x = 28,185.59/193.09
  6. Step 6: Final answer
    x = 145.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.