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Finding the Fourth Proportional to 77.75, 107.21 and 70.05

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Solution

The fourth proportional to 77.75, 107.21 and 70.05 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 107.21 = 70.05 : x
  2. Step 2: Convert to fraction form
    77.75/107.21 = 70.05/x
  3. Step 3: Cross multiply
    77.75x = 107.21 × 70.05
  4. Step 4: Simplify right side
    77.75x = 7,509.71
  5. Step 5: Solve for x
    x = 7,509.71/77.75
  6. Step 6: Final answer
    x = 96.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.