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Finding the Fourth Proportional to 27.46, 37.64 and 27.10

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Solution

The fourth proportional to 27.46, 37.64 and 27.10 is: 37.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.46 : 37.64 = 27.10 : x
  2. Step 2: Convert to fraction form
    27.46/37.64 = 27.10/x
  3. Step 3: Cross multiply
    27.46x = 37.64 × 27.10
  4. Step 4: Simplify right side
    27.46x = 1,020.04
  5. Step 5: Solve for x
    x = 1,020.04/27.46
  6. Step 6: Final answer
    x = 37.15

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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.