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Finding the Fourth Proportional to 108.44, 149.64 and 89

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Solution

The fourth proportional to 108.44, 149.64 and 89 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 149.64 = 89 : x
  2. Step 2: Convert to fraction form
    108.44/149.64 = 89/x
  3. Step 3: Cross multiply
    108.44x = 149.64 × 89
  4. Step 4: Simplify right side
    108.44x = 13,317.96
  5. Step 5: Solve for x
    x = 13,317.96/108.44
  6. Step 6: Final answer
    x = 122.81

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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.