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Finding the Fourth Proportional to 27.19, 37.28 and 26.45

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Solution

The fourth proportional to 27.19, 37.28 and 26.45 is: 36.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 37.28 = 26.45 : x
  2. Step 2: Convert to fraction form
    27.19/37.28 = 26.45/x
  3. Step 3: Cross multiply
    27.19x = 37.28 × 26.45
  4. Step 4: Simplify right side
    27.19x = 986.06
  5. Step 5: Solve for x
    x = 986.06/27.19
  6. Step 6: Final answer
    x = 36.27

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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.