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Finding the Fourth Proportional to 30.59, 42.24 and 24.04

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Solution

The fourth proportional to 30.59, 42.24 and 24.04 is: 33.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 42.24 = 24.04 : x
  2. Step 2: Convert to fraction form
    30.59/42.24 = 24.04/x
  3. Step 3: Cross multiply
    30.59x = 42.24 × 24.04
  4. Step 4: Simplify right side
    30.59x = 1,015.45
  5. Step 5: Solve for x
    x = 1,015.45/30.59
  6. Step 6: Final answer
    x = 33.20

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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.