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Finding the Fourth Proportional to 108.93, 149.46 and 98.49

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Solution

The fourth proportional to 108.93, 149.46 and 98.49 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.93 : 149.46 = 98.49 : x
  2. Step 2: Convert to fraction form
    108.93/149.46 = 98.49/x
  3. Step 3: Cross multiply
    108.93x = 149.46 × 98.49
  4. Step 4: Simplify right side
    108.93x = 14,720.32
  5. Step 5: Solve for x
    x = 14,720.32/108.93
  6. Step 6: Final answer
    x = 135.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.