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Finding the Fourth Proportional to 38.14, 52.64 and 21.77

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Solution

The fourth proportional to 38.14, 52.64 and 21.77 is: 30.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 52.64 = 21.77 : x
  2. Step 2: Convert to fraction form
    38.14/52.64 = 21.77/x
  3. Step 3: Cross multiply
    38.14x = 52.64 × 21.77
  4. Step 4: Simplify right side
    38.14x = 1,145.88
  5. Step 5: Solve for x
    x = 1,145.88/38.14
  6. Step 6: Final answer
    x = 30.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.