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Finding the Fourth Proportional to 30.64, 46.01 and 18.69

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Solution

The fourth proportional to 30.64, 46.01 and 18.69 is: 28.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.64 : 46.01 = 18.69 : x
  2. Step 2: Convert to fraction form
    30.64/46.01 = 18.69/x
  3. Step 3: Cross multiply
    30.64x = 46.01 × 18.69
  4. Step 4: Simplify right side
    30.64x = 859.93
  5. Step 5: Solve for x
    x = 859.93/30.64
  6. Step 6: Final answer
    x = 28.07

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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.