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Finding the Fourth Proportional to 68.40, 102.24 and 62.96

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Solution

The fourth proportional to 68.40, 102.24 and 62.96 is: 94.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 102.24 = 62.96 : x
  2. Step 2: Convert to fraction form
    68.40/102.24 = 62.96/x
  3. Step 3: Cross multiply
    68.40x = 102.24 × 62.96
  4. Step 4: Simplify right side
    68.40x = 6,437.03
  5. Step 5: Solve for x
    x = 6,437.03/68.40
  6. Step 6: Final answer
    x = 94.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.