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Finding the Fourth Proportional to 46.45, 69.63 and 16.00

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Solution

The fourth proportional to 46.45, 69.63 and 16.00 is: 23.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 69.63 = 16.00 : x
  2. Step 2: Convert to fraction form
    46.45/69.63 = 16.00/x
  3. Step 3: Cross multiply
    46.45x = 69.63 × 16.00
  4. Step 4: Simplify right side
    46.45x = 1,113.69
  5. Step 5: Solve for x
    x = 1,113.69/46.45
  6. Step 6: Final answer
    x = 23.98

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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.