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Finding the Fourth Proportional to 71.94, 107.85 and 61.81

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Solution

The fourth proportional to 71.94, 107.85 and 61.81 is: 92.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 107.85 = 61.81 : x
  2. Step 2: Convert to fraction form
    71.94/107.85 = 61.81/x
  3. Step 3: Cross multiply
    71.94x = 107.85 × 61.81
  4. Step 4: Simplify right side
    71.94x = 6,666.21
  5. Step 5: Solve for x
    x = 6,666.21/71.94
  6. Step 6: Final answer
    x = 92.66

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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.