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Finding the Fourth Proportional to 29.37, 43.77 and 27.06

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Solution

The fourth proportional to 29.37, 43.77 and 27.06 is: 40.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.37 : 43.77 = 27.06 : x
  2. Step 2: Convert to fraction form
    29.37/43.77 = 27.06/x
  3. Step 3: Cross multiply
    29.37x = 43.77 × 27.06
  4. Step 4: Simplify right side
    29.37x = 1,184.42
  5. Step 5: Solve for x
    x = 1,184.42/29.37
  6. Step 6: Final answer
    x = 40.33

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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.