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Finding the Fourth Proportional to 105.62, 145.70 and 74.54

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Solution

The fourth proportional to 105.62, 145.70 and 74.54 is: 102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.62 : 145.70 = 74.54 : x
  2. Step 2: Convert to fraction form
    105.62/145.70 = 74.54/x
  3. Step 3: Cross multiply
    105.62x = 145.70 × 74.54
  4. Step 4: Simplify right side
    105.62x = 10,860.48
  5. Step 5: Solve for x
    x = 10,860.48/105.62
  6. Step 6: Final answer
    x = 102.83

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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.