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Finding the Fourth Proportional to 30.02, 41.42 and 19.65

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Solution

The fourth proportional to 30.02, 41.42 and 19.65 is: 27.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.02 : 41.42 = 19.65 : x
  2. Step 2: Convert to fraction form
    30.02/41.42 = 19.65/x
  3. Step 3: Cross multiply
    30.02x = 41.42 × 19.65
  4. Step 4: Simplify right side
    30.02x = 813.80
  5. Step 5: Solve for x
    x = 813.80/30.02
  6. Step 6: Final answer
    x = 27.11

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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.