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Finding the Fourth Proportional to 71.15, 106.80 and 70.82

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Solution

The fourth proportional to 71.15, 106.80 and 70.82 is: 106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.15 : 106.80 = 70.82 : x
  2. Step 2: Convert to fraction form
    71.15/106.80 = 70.82/x
  3. Step 3: Cross multiply
    71.15x = 106.80 × 70.82
  4. Step 4: Simplify right side
    71.15x = 7,563.58
  5. Step 5: Solve for x
    x = 7,563.58/71.15
  6. Step 6: Final answer
    x = 106.30

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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.