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Finding the Fourth Proportional to 30.53, 42.16 and 24.37

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Solution

The fourth proportional to 30.53, 42.16 and 24.37 is: 33.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.53 : 42.16 = 24.37 : x
  2. Step 2: Convert to fraction form
    30.53/42.16 = 24.37/x
  3. Step 3: Cross multiply
    30.53x = 42.16 × 24.37
  4. Step 4: Simplify right side
    30.53x = 1,027.44
  5. Step 5: Solve for x
    x = 1,027.44/30.53
  6. Step 6: Final answer
    x = 33.65

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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.