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Finding the Fourth Proportional to 68.92, 102.90 and 62.02

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Solution

The fourth proportional to 68.92, 102.90 and 62.02 is: 92.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 102.90 = 62.02 : x
  2. Step 2: Convert to fraction form
    68.92/102.90 = 62.02/x
  3. Step 3: Cross multiply
    68.92x = 102.90 × 62.02
  4. Step 4: Simplify right side
    68.92x = 6,381.86
  5. Step 5: Solve for x
    x = 6,381.86/68.92
  6. Step 6: Final answer
    x = 92.60

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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.