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Finding the Fourth Proportional to 67.58, 92.67 and 65.28

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Solution

The fourth proportional to 67.58, 92.67 and 65.28 is: 89.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.58 : 92.67 = 65.28 : x
  2. Step 2: Convert to fraction form
    67.58/92.67 = 65.28/x
  3. Step 3: Cross multiply
    67.58x = 92.67 × 65.28
  4. Step 4: Simplify right side
    67.58x = 6,049.50
  5. Step 5: Solve for x
    x = 6,049.50/67.58
  6. Step 6: Final answer
    x = 89.52

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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.