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Finding the Fourth Proportional to 74.94, 103.49 and 59.39

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Solution

The fourth proportional to 74.94, 103.49 and 59.39 is: 82.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 103.49 = 59.39 : x
  2. Step 2: Convert to fraction form
    74.94/103.49 = 59.39/x
  3. Step 3: Cross multiply
    74.94x = 103.49 × 59.39
  4. Step 4: Simplify right side
    74.94x = 6,146.27
  5. Step 5: Solve for x
    x = 6,146.27/74.94
  6. Step 6: Final answer
    x = 82.02

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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.