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Finding the Fourth Proportional to 193.42, 266.92 and 106.10

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Solution

The fourth proportional to 193.42, 266.92 and 106.10 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.42 : 266.92 = 106.10 : x
  2. Step 2: Convert to fraction form
    193.42/266.92 = 106.10/x
  3. Step 3: Cross multiply
    193.42x = 266.92 × 106.10
  4. Step 4: Simplify right side
    193.42x = 28,320.21
  5. Step 5: Solve for x
    x = 28,320.21/193.42
  6. Step 6: Final answer
    x = 146.42

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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.