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Finding the Fourth Proportional to 27, 37.12 and 24.21

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Solution

The fourth proportional to 27, 37.12 and 24.21 is: 33.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.12 = 24.21 : x
  2. Step 2: Convert to fraction form
    27/37.12 = 24.21/x
  3. Step 3: Cross multiply
    27x = 37.12 × 24.21
  4. Step 4: Simplify right side
    27x = 898.68
  5. Step 5: Solve for x
    x = 898.68/27
  6. Step 6: Final answer
    x = 33.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.