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Finding the Fourth Proportional to 30.72, 42.16 and 30.54

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Solution

The fourth proportional to 30.72, 42.16 and 30.54 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.72 : 42.16 = 30.54 : x
  2. Step 2: Convert to fraction form
    30.72/42.16 = 30.54/x
  3. Step 3: Cross multiply
    30.72x = 42.16 × 30.54
  4. Step 4: Simplify right side
    30.72x = 1,287.57
  5. Step 5: Solve for x
    x = 1,287.57/30.72
  6. Step 6: Final answer
    x = 41.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.