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Finding the Fourth Proportional to 30.52, 45.82 and 19.07

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Solution

The fourth proportional to 30.52, 45.82 and 19.07 is: 28.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.52 : 45.82 = 19.07 : x
  2. Step 2: Convert to fraction form
    30.52/45.82 = 19.07/x
  3. Step 3: Cross multiply
    30.52x = 45.82 × 19.07
  4. Step 4: Simplify right side
    30.52x = 873.46
  5. Step 5: Solve for x
    x = 873.46/30.52
  6. Step 6: Final answer
    x = 28.62

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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.