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Finding the Fourth Proportional to 74.82, 103.26 and 42.07

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Solution

The fourth proportional to 74.82, 103.26 and 42.07 is: 58.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.82 : 103.26 = 42.07 : x
  2. Step 2: Convert to fraction form
    74.82/103.26 = 42.07/x
  3. Step 3: Cross multiply
    74.82x = 103.26 × 42.07
  4. Step 4: Simplify right side
    74.82x = 4,344.15
  5. Step 5: Solve for x
    x = 4,344.15/74.82
  6. Step 6: Final answer
    x = 58.06

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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.