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Finding the Fourth Proportional to 76.06, 104.94 and 42.86

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Solution

The fourth proportional to 76.06, 104.94 and 42.86 is: 59.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 104.94 = 42.86 : x
  2. Step 2: Convert to fraction form
    76.06/104.94 = 42.86/x
  3. Step 3: Cross multiply
    76.06x = 104.94 × 42.86
  4. Step 4: Simplify right side
    76.06x = 4,497.31
  5. Step 5: Solve for x
    x = 4,497.31/76.06
  6. Step 6: Final answer
    x = 59.13

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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.