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Finding the Fourth Proportional to 104.72, 144.47 and 65.90

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Solution

The fourth proportional to 104.72, 144.47 and 65.90 is: 90.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.72 : 144.47 = 65.90 : x
  2. Step 2: Convert to fraction form
    104.72/144.47 = 65.90/x
  3. Step 3: Cross multiply
    104.72x = 144.47 × 65.90
  4. Step 4: Simplify right side
    104.72x = 9,520.57
  5. Step 5: Solve for x
    x = 9,520.57/104.72
  6. Step 6: Final answer
    x = 90.91

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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.