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Finding the Fourth Proportional to 46.56, 69.86 and 16.14

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Solution

The fourth proportional to 46.56, 69.86 and 16.14 is: 24.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 69.86 = 16.14 : x
  2. Step 2: Convert to fraction form
    46.56/69.86 = 16.14/x
  3. Step 3: Cross multiply
    46.56x = 69.86 × 16.14
  4. Step 4: Simplify right side
    46.56x = 1,127.54
  5. Step 5: Solve for x
    x = 1,127.54/46.56
  6. Step 6: Final answer
    x = 24.22

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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.