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Finding the Fourth Proportional to 104.98, 144.85 and 63.54

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Solution

The fourth proportional to 104.98, 144.85 and 63.54 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.98 : 144.85 = 63.54 : x
  2. Step 2: Convert to fraction form
    104.98/144.85 = 63.54/x
  3. Step 3: Cross multiply
    104.98x = 144.85 × 63.54
  4. Step 4: Simplify right side
    104.98x = 9,203.77
  5. Step 5: Solve for x
    x = 9,203.77/104.98
  6. Step 6: Final answer
    x = 87.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.