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Finding the Fourth Proportional to 68.67, 102.77 and 46.90

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Solution

The fourth proportional to 68.67, 102.77 and 46.90 is: 70.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.67 : 102.77 = 46.90 : x
  2. Step 2: Convert to fraction form
    68.67/102.77 = 46.90/x
  3. Step 3: Cross multiply
    68.67x = 102.77 × 46.90
  4. Step 4: Simplify right side
    68.67x = 4,820.27
  5. Step 5: Solve for x
    x = 4,820.27/68.67
  6. Step 6: Final answer
    x = 70.19

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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.