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Finding the Fourth Proportional to 71.56, 107.42 and 70.80

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Solution

The fourth proportional to 71.56, 107.42 and 70.80 is: 106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 107.42 = 70.80 : x
  2. Step 2: Convert to fraction form
    71.56/107.42 = 70.80/x
  3. Step 3: Cross multiply
    71.56x = 107.42 × 70.80
  4. Step 4: Simplify right side
    71.56x = 7,605.34
  5. Step 5: Solve for x
    x = 7,605.34/71.56
  6. Step 6: Final answer
    x = 106.28

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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.