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Finding the Fourth Proportional to 30.21, 45.27 and 27.71

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Solution

The fourth proportional to 30.21, 45.27 and 27.71 is: 41.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.21 : 45.27 = 27.71 : x
  2. Step 2: Convert to fraction form
    30.21/45.27 = 27.71/x
  3. Step 3: Cross multiply
    30.21x = 45.27 × 27.71
  4. Step 4: Simplify right side
    30.21x = 1,254.21
  5. Step 5: Solve for x
    x = 1,254.21/30.21
  6. Step 6: Final answer
    x = 41.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.