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Finding the Fourth Proportional to 64.05, 96.14 and 37

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Solution

The fourth proportional to 64.05, 96.14 and 37 is: 55.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.05 : 96.14 = 37 : x
  2. Step 2: Convert to fraction form
    64.05/96.14 = 37/x
  3. Step 3: Cross multiply
    64.05x = 96.14 × 37
  4. Step 4: Simplify right side
    64.05x = 3,557.18
  5. Step 5: Solve for x
    x = 3,557.18/64.05
  6. Step 6: Final answer
    x = 55.54

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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.