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Finding the Fourth Proportional to 23.70, 34.14 and 23.70

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Solution

The fourth proportional to 23.70, 34.14 and 23.70 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.70 : 34.14 = 23.70 : x
  2. Step 2: Convert to fraction form
    23.70/34.14 = 23.70/x
  3. Step 3: Cross multiply
    23.70x = 34.14 × 23.70
  4. Step 4: Simplify right side
    23.70x = 809.12
  5. Step 5: Solve for x
    x = 809.12/23.70
  6. Step 6: Final answer
    x = 34.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.