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Finding the Fourth Proportional to 30.17, 41.61 and 24.05

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Solution

The fourth proportional to 30.17, 41.61 and 24.05 is: 33.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.17 : 41.61 = 24.05 : x
  2. Step 2: Convert to fraction form
    30.17/41.61 = 24.05/x
  3. Step 3: Cross multiply
    30.17x = 41.61 × 24.05
  4. Step 4: Simplify right side
    30.17x = 1,000.51
  5. Step 5: Solve for x
    x = 1,000.51/30.17
  6. Step 6: Final answer
    x = 33.17

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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.