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Finding the Fourth Proportional to 23.50, 35.29 and 14.96

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Solution

The fourth proportional to 23.50, 35.29 and 14.96 is: 22.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.50 : 35.29 = 14.96 : x
  2. Step 2: Convert to fraction form
    23.50/35.29 = 14.96/x
  3. Step 3: Cross multiply
    23.50x = 35.29 × 14.96
  4. Step 4: Simplify right side
    23.50x = 527.72
  5. Step 5: Solve for x
    x = 527.72/23.50
  6. Step 6: Final answer
    x = 22.46

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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.