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Finding the Fourth Proportional to 108.85, 162.60 and 98

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Solution

The fourth proportional to 108.85, 162.60 and 98 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.85 : 162.60 = 98 : x
  2. Step 2: Convert to fraction form
    108.85/162.60 = 98/x
  3. Step 3: Cross multiply
    108.85x = 162.60 × 98
  4. Step 4: Simplify right side
    108.85x = 15,934.80
  5. Step 5: Solve for x
    x = 15,934.80/108.85
  6. Step 6: Final answer
    x = 146.39

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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.