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Finding the Fourth Proportional to 13.05, 19.54 and 7.70

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Solution

The fourth proportional to 13.05, 19.54 and 7.70 is: 11.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.05 : 19.54 = 7.70 : x
  2. Step 2: Convert to fraction form
    13.05/19.54 = 7.70/x
  3. Step 3: Cross multiply
    13.05x = 19.54 × 7.70
  4. Step 4: Simplify right side
    13.05x = 150.46
  5. Step 5: Solve for x
    x = 150.46/13.05
  6. Step 6: Final answer
    x = 11.53

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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.