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Finding the Fourth Proportional to 68.40, 102.42 and 52.38

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Solution

The fourth proportional to 68.40, 102.42 and 52.38 is: 78.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 102.42 = 52.38 : x
  2. Step 2: Convert to fraction form
    68.40/102.42 = 52.38/x
  3. Step 3: Cross multiply
    68.40x = 102.42 × 52.38
  4. Step 4: Simplify right side
    68.40x = 5,364.76
  5. Step 5: Solve for x
    x = 5,364.76/68.40
  6. Step 6: Final answer
    x = 78.43

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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.