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Finding the Fourth Proportional to 71.71, 107.12 and 70.36

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Solution

The fourth proportional to 71.71, 107.12 and 70.36 is: 105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.71 : 107.12 = 70.36 : x
  2. Step 2: Convert to fraction form
    71.71/107.12 = 70.36/x
  3. Step 3: Cross multiply
    71.71x = 107.12 × 70.36
  4. Step 4: Simplify right side
    71.71x = 7,536.96
  5. Step 5: Solve for x
    x = 7,536.96/71.71
  6. Step 6: Final answer
    x = 105.10

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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.