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Finding the Fourth Proportional to 71.08, 107.19 and 70.63

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Solution

The fourth proportional to 71.08, 107.19 and 70.63 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.08 : 107.19 = 70.63 : x
  2. Step 2: Convert to fraction form
    71.08/107.19 = 70.63/x
  3. Step 3: Cross multiply
    71.08x = 107.19 × 70.63
  4. Step 4: Simplify right side
    71.08x = 7,570.56
  5. Step 5: Solve for x
    x = 7,570.56/71.08
  6. Step 6: Final answer
    x = 106.51

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Why These Related Problems?

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