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Finding the Fourth Proportional to 68.58, 94.64 and 37.49

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Solution

The fourth proportional to 68.58, 94.64 and 37.49 is: 51.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 94.64 = 37.49 : x
  2. Step 2: Convert to fraction form
    68.58/94.64 = 37.49/x
  3. Step 3: Cross multiply
    68.58x = 94.64 × 37.49
  4. Step 4: Simplify right side
    68.58x = 3,548.15
  5. Step 5: Solve for x
    x = 3,548.15/68.58
  6. Step 6: Final answer
    x = 51.74

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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.