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Finding the Fourth Proportional to 30.96, 42.64 and 27.84

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Solution

The fourth proportional to 30.96, 42.64 and 27.84 is: 38.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.96 : 42.64 = 27.84 : x
  2. Step 2: Convert to fraction form
    30.96/42.64 = 27.84/x
  3. Step 3: Cross multiply
    30.96x = 42.64 × 27.84
  4. Step 4: Simplify right side
    30.96x = 1,187.10
  5. Step 5: Solve for x
    x = 1,187.10/30.96
  6. Step 6: Final answer
    x = 38.34

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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.