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Finding the Fourth Proportional to 60.94, 84.09 and 37.64

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Solution

The fourth proportional to 60.94, 84.09 and 37.64 is: 51.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.94 : 84.09 = 37.64 : x
  2. Step 2: Convert to fraction form
    60.94/84.09 = 37.64/x
  3. Step 3: Cross multiply
    60.94x = 84.09 × 37.64
  4. Step 4: Simplify right side
    60.94x = 3,165.50
  5. Step 5: Solve for x
    x = 3,165.50/60.94
  6. Step 6: Final answer
    x = 51.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.