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Finding the Fourth Proportional to 64.63, 96.87 and 37.44

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Solution

The fourth proportional to 64.63, 96.87 and 37.44 is: 56.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.63 : 96.87 = 37.44 : x
  2. Step 2: Convert to fraction form
    64.63/96.87 = 37.44/x
  3. Step 3: Cross multiply
    64.63x = 96.87 × 37.44
  4. Step 4: Simplify right side
    64.63x = 3,626.87
  5. Step 5: Solve for x
    x = 3,626.87/64.63
  6. Step 6: Final answer
    x = 56.12

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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.