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Finding the Fourth Proportional to 71.94, 106.41 and 71.94

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Solution

The fourth proportional to 71.94, 106.41 and 71.94 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 106.41 = 71.94 : x
  2. Step 2: Convert to fraction form
    71.94/106.41 = 71.94/x
  3. Step 3: Cross multiply
    71.94x = 106.41 × 71.94
  4. Step 4: Simplify right side
    71.94x = 7,655.14
  5. Step 5: Solve for x
    x = 7,655.14/71.94
  6. Step 6: Final answer
    x = 106.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.