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Finding the Fourth Proportional to 67.68, 92.95 and 65.86

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Solution

The fourth proportional to 67.68, 92.95 and 65.86 is: 90.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 92.95 = 65.86 : x
  2. Step 2: Convert to fraction form
    67.68/92.95 = 65.86/x
  3. Step 3: Cross multiply
    67.68x = 92.95 × 65.86
  4. Step 4: Simplify right side
    67.68x = 6,121.69
  5. Step 5: Solve for x
    x = 6,121.69/67.68
  6. Step 6: Final answer
    x = 90.45

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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.