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Finding the Fourth Proportional to 15.33, 23.02 and 11.94

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Solution

The fourth proportional to 15.33, 23.02 and 11.94 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.33 : 23.02 = 11.94 : x
  2. Step 2: Convert to fraction form
    15.33/23.02 = 11.94/x
  3. Step 3: Cross multiply
    15.33x = 23.02 × 11.94
  4. Step 4: Simplify right side
    15.33x = 274.76
  5. Step 5: Solve for x
    x = 274.76/15.33
  6. Step 6: Final answer
    x = 17.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.