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Finding the Fourth Proportional to 108.64, 162.14 and 98.44

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Solution

The fourth proportional to 108.64, 162.14 and 98.44 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 162.14 = 98.44 : x
  2. Step 2: Convert to fraction form
    108.64/162.14 = 98.44/x
  3. Step 3: Cross multiply
    108.64x = 162.14 × 98.44
  4. Step 4: Simplify right side
    108.64x = 15,961.06
  5. Step 5: Solve for x
    x = 15,961.06/108.64
  6. Step 6: Final answer
    x = 146.92

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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.