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Finding the Fourth Proportional to 45.38, 68.02 and 23.70

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Solution

The fourth proportional to 45.38, 68.02 and 23.70 is: 35.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.38 : 68.02 = 23.70 : x
  2. Step 2: Convert to fraction form
    45.38/68.02 = 23.70/x
  3. Step 3: Cross multiply
    45.38x = 68.02 × 23.70
  4. Step 4: Simplify right side
    45.38x = 1,612.01
  5. Step 5: Solve for x
    x = 1,612.01/45.38
  6. Step 6: Final answer
    x = 35.53

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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.