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Finding the Fourth Proportional to 73.16, 109.78 and 46.12

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Solution

The fourth proportional to 73.16, 109.78 and 46.12 is: 69.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 109.78 = 46.12 : x
  2. Step 2: Convert to fraction form
    73.16/109.78 = 46.12/x
  3. Step 3: Cross multiply
    73.16x = 109.78 × 46.12
  4. Step 4: Simplify right side
    73.16x = 5,063.05
  5. Step 5: Solve for x
    x = 5,063.05/73.16
  6. Step 6: Final answer
    x = 69.21

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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.