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Finding the Fourth Proportional to 74.94, 103.59 and 74.25

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Solution

The fourth proportional to 74.94, 103.59 and 74.25 is: 102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 103.59 = 74.25 : x
  2. Step 2: Convert to fraction form
    74.94/103.59 = 74.25/x
  3. Step 3: Cross multiply
    74.94x = 103.59 × 74.25
  4. Step 4: Simplify right side
    74.94x = 7,691.56
  5. Step 5: Solve for x
    x = 7,691.56/74.94
  6. Step 6: Final answer
    x = 102.64

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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.