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Finding the Fourth Proportional to 108.35, 149.51 and 101.78

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Solution

The fourth proportional to 108.35, 149.51 and 101.78 is: 140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.35 : 149.51 = 101.78 : x
  2. Step 2: Convert to fraction form
    108.35/149.51 = 101.78/x
  3. Step 3: Cross multiply
    108.35x = 149.51 × 101.78
  4. Step 4: Simplify right side
    108.35x = 15,216.62
  5. Step 5: Solve for x
    x = 15,216.62/108.35
  6. Step 6: Final answer
    x = 140.44

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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.