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Finding the Fourth Proportional to 27, 40.46 and 24

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Solution

The fourth proportional to 27, 40.46 and 24 is: 35.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 40.46 = 24 : x
  2. Step 2: Convert to fraction form
    27/40.46 = 24/x
  3. Step 3: Cross multiply
    27x = 40.46 × 24
  4. Step 4: Simplify right side
    27x = 971.04
  5. Step 5: Solve for x
    x = 971.04/27
  6. Step 6: Final answer
    x = 35.96

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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.