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Finding the Fourth Proportional to 46.99, 64.46 and 44.69

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Solution

The fourth proportional to 46.99, 64.46 and 44.69 is: 61.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 64.46 = 44.69 : x
  2. Step 2: Convert to fraction form
    46.99/64.46 = 44.69/x
  3. Step 3: Cross multiply
    46.99x = 64.46 × 44.69
  4. Step 4: Simplify right side
    46.99x = 2,880.72
  5. Step 5: Solve for x
    x = 2,880.72/46.99
  6. Step 6: Final answer
    x = 61.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.