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Finding the Fourth Proportional to 108.55, 149.81 and 101.26

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Solution

The fourth proportional to 108.55, 149.81 and 101.26 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.55 : 149.81 = 101.26 : x
  2. Step 2: Convert to fraction form
    108.55/149.81 = 101.26/x
  3. Step 3: Cross multiply
    108.55x = 149.81 × 101.26
  4. Step 4: Simplify right side
    108.55x = 15,169.25
  5. Step 5: Solve for x
    x = 15,169.25/108.55
  6. Step 6: Final answer
    x = 139.74

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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.