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Finding the Fourth Proportional to 108, 161.30 and 93.44

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Solution

The fourth proportional to 108, 161.30 and 93.44 is: 139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 161.30 = 93.44 : x
  2. Step 2: Convert to fraction form
    108/161.30 = 93.44/x
  3. Step 3: Cross multiply
    108x = 161.30 × 93.44
  4. Step 4: Simplify right side
    108x = 15,071.87
  5. Step 5: Solve for x
    x = 15,071.87/108
  6. Step 6: Final answer
    x = 139.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.