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Finding the Fourth Proportional to 71.93, 107.63 and 43.06

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Solution

The fourth proportional to 71.93, 107.63 and 43.06 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 107.63 = 43.06 : x
  2. Step 2: Convert to fraction form
    71.93/107.63 = 43.06/x
  3. Step 3: Cross multiply
    71.93x = 107.63 × 43.06
  4. Step 4: Simplify right side
    71.93x = 4,634.66
  5. Step 5: Solve for x
    x = 4,634.66/71.93
  6. Step 6: Final answer
    x = 64.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.