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Finding the Fourth Proportional to 23.70, 33.10 and 23.70

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Solution

The fourth proportional to 23.70, 33.10 and 23.70 is: 33.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.70 : 33.10 = 23.70 : x
  2. Step 2: Convert to fraction form
    23.70/33.10 = 23.70/x
  3. Step 3: Cross multiply
    23.70x = 33.10 × 23.70
  4. Step 4: Simplify right side
    23.70x = 784.47
  5. Step 5: Solve for x
    x = 784.47/23.70
  6. Step 6: Final answer
    x = 33.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.