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Finding the Fourth Proportional to 30.78, 46.17 and 24.00

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Solution

The fourth proportional to 30.78, 46.17 and 24.00 is: 35.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.78 : 46.17 = 24.00 : x
  2. Step 2: Convert to fraction form
    30.78/46.17 = 24.00/x
  3. Step 3: Cross multiply
    30.78x = 46.17 × 24.00
  4. Step 4: Simplify right side
    30.78x = 1,107.91
  5. Step 5: Solve for x
    x = 1,107.91/30.78
  6. Step 6: Final answer
    x = 35.99

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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.