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Finding the Fourth Proportional to 27.02, 37.32 and 23.78

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Solution

The fourth proportional to 27.02, 37.32 and 23.78 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 37.32 = 23.78 : x
  2. Step 2: Convert to fraction form
    27.02/37.32 = 23.78/x
  3. Step 3: Cross multiply
    27.02x = 37.32 × 23.78
  4. Step 4: Simplify right side
    27.02x = 887.47
  5. Step 5: Solve for x
    x = 887.47/27.02
  6. Step 6: Final answer
    x = 32.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.