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Finding the Fourth Proportional to 23.74, 35.53 and 23.38

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Solution

The fourth proportional to 23.74, 35.53 and 23.38 is: 34.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.74 : 35.53 = 23.38 : x
  2. Step 2: Convert to fraction form
    23.74/35.53 = 23.38/x
  3. Step 3: Cross multiply
    23.74x = 35.53 × 23.38
  4. Step 4: Simplify right side
    23.74x = 830.69
  5. Step 5: Solve for x
    x = 830.69/23.74
  6. Step 6: Final answer
    x = 34.99

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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.