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Finding the Fourth Proportional to 30.84, 42.64 and 27.30

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Solution

The fourth proportional to 30.84, 42.64 and 27.30 is: 37.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 42.64 = 27.30 : x
  2. Step 2: Convert to fraction form
    30.84/42.64 = 27.30/x
  3. Step 3: Cross multiply
    30.84x = 42.64 × 27.30
  4. Step 4: Simplify right side
    30.84x = 1,164.07
  5. Step 5: Solve for x
    x = 1,164.07/30.84
  6. Step 6: Final answer
    x = 37.75

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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.