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Finding the Fourth Proportional to 108.16, 161.39 and 95.98

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Solution

The fourth proportional to 108.16, 161.39 and 95.98 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.16 : 161.39 = 95.98 : x
  2. Step 2: Convert to fraction form
    108.16/161.39 = 95.98/x
  3. Step 3: Cross multiply
    108.16x = 161.39 × 95.98
  4. Step 4: Simplify right side
    108.16x = 15,490.21
  5. Step 5: Solve for x
    x = 15,490.21/108.16
  6. Step 6: Final answer
    x = 143.22

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