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Finding the Fourth Proportional to 71.01, 106.89 and 54.10

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Solution

The fourth proportional to 71.01, 106.89 and 54.10 is: 81.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.01 : 106.89 = 54.10 : x
  2. Step 2: Convert to fraction form
    71.01/106.89 = 54.10/x
  3. Step 3: Cross multiply
    71.01x = 106.89 × 54.10
  4. Step 4: Simplify right side
    71.01x = 5,782.68
  5. Step 5: Solve for x
    x = 5,782.68/71.01
  6. Step 6: Final answer
    x = 81.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.