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Finding the Fourth Proportional to 30.94, 46.39 and 15.69

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Solution

The fourth proportional to 30.94, 46.39 and 15.69 is: 23.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 46.39 = 15.69 : x
  2. Step 2: Convert to fraction form
    30.94/46.39 = 15.69/x
  3. Step 3: Cross multiply
    30.94x = 46.39 × 15.69
  4. Step 4: Simplify right side
    30.94x = 728.02
  5. Step 5: Solve for x
    x = 728.02/30.94
  6. Step 6: Final answer
    x = 23.53

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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.