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Finding the Fourth Proportional to 27.35, 37.70 and 22.49

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Solution

The fourth proportional to 27.35, 37.70 and 22.49 is: 31.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.35 : 37.70 = 22.49 : x
  2. Step 2: Convert to fraction form
    27.35/37.70 = 22.49/x
  3. Step 3: Cross multiply
    27.35x = 37.70 × 22.49
  4. Step 4: Simplify right side
    27.35x = 847.74
  5. Step 5: Solve for x
    x = 847.74/27.35
  6. Step 6: Final answer
    x = 31.00

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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.