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Finding the Fourth Proportional to 105.10, 145.05 and 101.74

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Solution

The fourth proportional to 105.10, 145.05 and 101.74 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.10 : 145.05 = 101.74 : x
  2. Step 2: Convert to fraction form
    105.10/145.05 = 101.74/x
  3. Step 3: Cross multiply
    105.10x = 145.05 × 101.74
  4. Step 4: Simplify right side
    105.10x = 14,757.39
  5. Step 5: Solve for x
    x = 14,757.39/105.10
  6. Step 6: Final answer
    x = 140.41

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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.