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Finding the Fourth Proportional to 34.13, 51 and 27.33

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Solution

The fourth proportional to 34.13, 51 and 27.33 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 51 = 27.33 : x
  2. Step 2: Convert to fraction form
    34.13/51 = 27.33/x
  3. Step 3: Cross multiply
    34.13x = 51 × 27.33
  4. Step 4: Simplify right side
    34.13x = 1,393.83
  5. Step 5: Solve for x
    x = 1,393.83/34.13
  6. Step 6: Final answer
    x = 40.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.