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Finding the Fourth Proportional to 75.12, 103.67 and 42.37

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Solution

The fourth proportional to 75.12, 103.67 and 42.37 is: 58.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 103.67 = 42.37 : x
  2. Step 2: Convert to fraction form
    75.12/103.67 = 42.37/x
  3. Step 3: Cross multiply
    75.12x = 103.67 × 42.37
  4. Step 4: Simplify right side
    75.12x = 4,392.29
  5. Step 5: Solve for x
    x = 4,392.29/75.12
  6. Step 6: Final answer
    x = 58.47

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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.