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Finding the Fourth Proportional to 71.90, 107.10 and 71.00

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Solution

The fourth proportional to 71.90, 107.10 and 71.00 is: 105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.90 : 107.10 = 71.00 : x
  2. Step 2: Convert to fraction form
    71.90/107.10 = 71.00/x
  3. Step 3: Cross multiply
    71.90x = 107.10 × 71.00
  4. Step 4: Simplify right side
    71.90x = 7,604.07
  5. Step 5: Solve for x
    x = 7,604.07/71.90
  6. Step 6: Final answer
    x = 105.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.