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Finding the Fourth Proportional to 30.20, 41.64 and 24.04

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Solution

The fourth proportional to 30.20, 41.64 and 24.04 is: 33.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.20 : 41.64 = 24.04 : x
  2. Step 2: Convert to fraction form
    30.20/41.64 = 24.04/x
  3. Step 3: Cross multiply
    30.20x = 41.64 × 24.04
  4. Step 4: Simplify right side
    30.20x = 1,001.03
  5. Step 5: Solve for x
    x = 1,001.03/30.20
  6. Step 6: Final answer
    x = 33.15

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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.