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Finding the Fourth Proportional to 73.96, 110.86 and 46.86

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Solution

The fourth proportional to 73.96, 110.86 and 46.86 is: 70.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.96 : 110.86 = 46.86 : x
  2. Step 2: Convert to fraction form
    73.96/110.86 = 46.86/x
  3. Step 3: Cross multiply
    73.96x = 110.86 × 46.86
  4. Step 4: Simplify right side
    73.96x = 5,194.90
  5. Step 5: Solve for x
    x = 5,194.90/73.96
  6. Step 6: Final answer
    x = 70.24

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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.