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Finding the Fourth Proportional to 67.44, 92.88 and 51.84

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Solution

The fourth proportional to 67.44, 92.88 and 51.84 is: 71.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.44 : 92.88 = 51.84 : x
  2. Step 2: Convert to fraction form
    67.44/92.88 = 51.84/x
  3. Step 3: Cross multiply
    67.44x = 92.88 × 51.84
  4. Step 4: Simplify right side
    67.44x = 4,814.90
  5. Step 5: Solve for x
    x = 4,814.90/67.44
  6. Step 6: Final answer
    x = 71.40

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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.