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Finding the Fourth Proportional to 30.96, 42.78 and 23.75

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Solution

The fourth proportional to 30.96, 42.78 and 23.75 is: 32.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.96 : 42.78 = 23.75 : x
  2. Step 2: Convert to fraction form
    30.96/42.78 = 23.75/x
  3. Step 3: Cross multiply
    30.96x = 42.78 × 23.75
  4. Step 4: Simplify right side
    30.96x = 1,015.81
  5. Step 5: Solve for x
    x = 1,015.81/30.96
  6. Step 6: Final answer
    x = 32.81

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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.