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Finding the Fourth Proportional to 30.92, 42.30 and 30.82

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Solution

The fourth proportional to 30.92, 42.30 and 30.82 is: 42.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.92 : 42.30 = 30.82 : x
  2. Step 2: Convert to fraction form
    30.92/42.30 = 30.82/x
  3. Step 3: Cross multiply
    30.92x = 42.30 × 30.82
  4. Step 4: Simplify right side
    30.92x = 1,303.69
  5. Step 5: Solve for x
    x = 1,303.69/30.92
  6. Step 6: Final answer
    x = 42.16

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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.