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Finding the Fourth Proportional to 193.08, 266.45 and 105.75

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Solution

The fourth proportional to 193.08, 266.45 and 105.75 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 266.45 = 105.75 : x
  2. Step 2: Convert to fraction form
    193.08/266.45 = 105.75/x
  3. Step 3: Cross multiply
    193.08x = 266.45 × 105.75
  4. Step 4: Simplify right side
    193.08x = 28,176.56
  5. Step 5: Solve for x
    x = 28,176.56/193.08
  6. Step 6: Final answer
    x = 145.93

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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.