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Finding the Fourth Proportional to 26.49, 39.78 and 19.70

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Solution

The fourth proportional to 26.49, 39.78 and 19.70 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.49 : 39.78 = 19.70 : x
  2. Step 2: Convert to fraction form
    26.49/39.78 = 19.70/x
  3. Step 3: Cross multiply
    26.49x = 39.78 × 19.70
  4. Step 4: Simplify right side
    26.49x = 783.77
  5. Step 5: Solve for x
    x = 783.77/26.49
  6. Step 6: Final answer
    x = 29.59

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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.