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Finding the Fourth Proportional to 105.14, 145.20 and 74.14

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Solution

The fourth proportional to 105.14, 145.20 and 74.14 is: 102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 145.20 = 74.14 : x
  2. Step 2: Convert to fraction form
    105.14/145.20 = 74.14/x
  3. Step 3: Cross multiply
    105.14x = 145.20 × 74.14
  4. Step 4: Simplify right side
    105.14x = 10,765.13
  5. Step 5: Solve for x
    x = 10,765.13/105.14
  6. Step 6: Final answer
    x = 102.39

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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.