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Finding the Fourth Proportional to 30.08, 41.50 and 22.82

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Solution

The fourth proportional to 30.08, 41.50 and 22.82 is: 31.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.08 : 41.50 = 22.82 : x
  2. Step 2: Convert to fraction form
    30.08/41.50 = 22.82/x
  3. Step 3: Cross multiply
    30.08x = 41.50 × 22.82
  4. Step 4: Simplify right side
    30.08x = 947.03
  5. Step 5: Solve for x
    x = 947.03/30.08
  6. Step 6: Final answer
    x = 31.48

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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.