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Finding the Fourth Proportional to 64.44, 96.62 and 37.02

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Solution

The fourth proportional to 64.44, 96.62 and 37.02 is: 55.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.44 : 96.62 = 37.02 : x
  2. Step 2: Convert to fraction form
    64.44/96.62 = 37.02/x
  3. Step 3: Cross multiply
    64.44x = 96.62 × 37.02
  4. Step 4: Simplify right side
    64.44x = 3,576.87
  5. Step 5: Solve for x
    x = 3,576.87/64.44
  6. Step 6: Final answer
    x = 55.51

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Why These Related Problems?

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