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Finding the Fourth Proportional to 68.40, 102.36 and 52.40

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Solution

The fourth proportional to 68.40, 102.36 and 52.40 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 102.36 = 52.40 : x
  2. Step 2: Convert to fraction form
    68.40/102.36 = 52.40/x
  3. Step 3: Cross multiply
    68.40x = 102.36 × 52.40
  4. Step 4: Simplify right side
    68.40x = 5,363.66
  5. Step 5: Solve for x
    x = 5,363.66/68.40
  6. Step 6: Final answer
    x = 78.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.