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Finding the Fourth Proportional to 75.06, 102.86 and 67.77

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Solution

The fourth proportional to 75.06, 102.86 and 67.77 is: 92.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.06 : 102.86 = 67.77 : x
  2. Step 2: Convert to fraction form
    75.06/102.86 = 67.77/x
  3. Step 3: Cross multiply
    75.06x = 102.86 × 67.77
  4. Step 4: Simplify right side
    75.06x = 6,970.93
  5. Step 5: Solve for x
    x = 6,970.93/75.06
  6. Step 6: Final answer
    x = 92.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.