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Finding the Fourth Proportional to 77.47, 106.94 and 69.26

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Solution

The fourth proportional to 77.47, 106.94 and 69.26 is: 95.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.47 : 106.94 = 69.26 : x
  2. Step 2: Convert to fraction form
    77.47/106.94 = 69.26/x
  3. Step 3: Cross multiply
    77.47x = 106.94 × 69.26
  4. Step 4: Simplify right side
    77.47x = 7,407.10
  5. Step 5: Solve for x
    x = 7,407.10/77.47
  6. Step 6: Final answer
    x = 95.62

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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.