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Finding the Fourth Proportional to 193.01, 266.36 and 105.68

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Solution

The fourth proportional to 193.01, 266.36 and 105.68 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.01 : 266.36 = 105.68 : x
  2. Step 2: Convert to fraction form
    193.01/266.36 = 105.68/x
  3. Step 3: Cross multiply
    193.01x = 266.36 × 105.68
  4. Step 4: Simplify right side
    193.01x = 28,148.92
  5. Step 5: Solve for x
    x = 28,148.92/193.01
  6. Step 6: Final answer
    x = 145.84

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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.