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Finding the Fourth Proportional to 30.07, 41.50 and 17.78

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Solution

The fourth proportional to 30.07, 41.50 and 17.78 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.07 : 41.50 = 17.78 : x
  2. Step 2: Convert to fraction form
    30.07/41.50 = 17.78/x
  3. Step 3: Cross multiply
    30.07x = 41.50 × 17.78
  4. Step 4: Simplify right side
    30.07x = 737.93
  5. Step 5: Solve for x
    x = 737.93/30.07
  6. Step 6: Final answer
    x = 24.54

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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.