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Finding the Fourth Proportional to 42.67, 64.09 and 37.54

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Solution

The fourth proportional to 42.67, 64.09 and 37.54 is: 56.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.67 : 64.09 = 37.54 : x
  2. Step 2: Convert to fraction form
    42.67/64.09 = 37.54/x
  3. Step 3: Cross multiply
    42.67x = 64.09 × 37.54
  4. Step 4: Simplify right side
    42.67x = 2,405.94
  5. Step 5: Solve for x
    x = 2,405.94/42.67
  6. Step 6: Final answer
    x = 56.38

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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.