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Finding the Fourth Proportional to 67.86, 93.72 and 42

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Solution

The fourth proportional to 67.86, 93.72 and 42 is: 58.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.86 : 93.72 = 42 : x
  2. Step 2: Convert to fraction form
    67.86/93.72 = 42/x
  3. Step 3: Cross multiply
    67.86x = 93.72 × 42
  4. Step 4: Simplify right side
    67.86x = 3,936.24
  5. Step 5: Solve for x
    x = 3,936.24/67.86
  6. Step 6: Final answer
    x = 58.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.