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Finding the Fourth Proportional to 30.66, 42.32 and 24.09

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Solution

The fourth proportional to 30.66, 42.32 and 24.09 is: 33.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 42.32 = 24.09 : x
  2. Step 2: Convert to fraction form
    30.66/42.32 = 24.09/x
  3. Step 3: Cross multiply
    30.66x = 42.32 × 24.09
  4. Step 4: Simplify right side
    30.66x = 1,019.37
  5. Step 5: Solve for x
    x = 1,019.37/30.66
  6. Step 6: Final answer
    x = 33.25

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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.