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Finding the Fourth Proportional to 69.89, 96.52 and 47.86

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Solution

The fourth proportional to 69.89, 96.52 and 47.86 is: 66.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.89 : 96.52 = 47.86 : x
  2. Step 2: Convert to fraction form
    69.89/96.52 = 47.86/x
  3. Step 3: Cross multiply
    69.89x = 96.52 × 47.86
  4. Step 4: Simplify right side
    69.89x = 4,619.45
  5. Step 5: Solve for x
    x = 4,619.45/69.89
  6. Step 6: Final answer
    x = 66.10

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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.