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Finding the Fourth Proportional to 104.86, 157.21 and 47.12

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Solution

The fourth proportional to 104.86, 157.21 and 47.12 is: 70.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.86 : 157.21 = 47.12 : x
  2. Step 2: Convert to fraction form
    104.86/157.21 = 47.12/x
  3. Step 3: Cross multiply
    104.86x = 157.21 × 47.12
  4. Step 4: Simplify right side
    104.86x = 7,406.83
  5. Step 5: Solve for x
    x = 7,406.83/104.86
  6. Step 6: Final answer
    x = 70.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.