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Finding the Fourth Proportional to 70.95, 106.43 and 19.59

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Solution

The fourth proportional to 70.95, 106.43 and 19.59 is: 29.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.95 : 106.43 = 19.59 : x
  2. Step 2: Convert to fraction form
    70.95/106.43 = 19.59/x
  3. Step 3: Cross multiply
    70.95x = 106.43 × 19.59
  4. Step 4: Simplify right side
    70.95x = 2,084.87
  5. Step 5: Solve for x
    x = 2,084.87/70.95
  6. Step 6: Final answer
    x = 29.39

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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.