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Finding the Fourth Proportional to 30.25, 45.10 and 27.64

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Solution

The fourth proportional to 30.25, 45.10 and 27.64 is: 41.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.25 : 45.10 = 27.64 : x
  2. Step 2: Convert to fraction form
    30.25/45.10 = 27.64/x
  3. Step 3: Cross multiply
    30.25x = 45.10 × 27.64
  4. Step 4: Simplify right side
    30.25x = 1,246.56
  5. Step 5: Solve for x
    x = 1,246.56/30.25
  6. Step 6: Final answer
    x = 41.21

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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.