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Finding the Fourth Proportional to 30.29, 41.76 and 24.14

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Solution

The fourth proportional to 30.29, 41.76 and 24.14 is: 33.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.29 : 41.76 = 24.14 : x
  2. Step 2: Convert to fraction form
    30.29/41.76 = 24.14/x
  3. Step 3: Cross multiply
    30.29x = 41.76 × 24.14
  4. Step 4: Simplify right side
    30.29x = 1,008.09
  5. Step 5: Solve for x
    x = 1,008.09/30.29
  6. Step 6: Final answer
    x = 33.28

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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.