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Finding the Fourth Proportional to 72.05, 107.38 and 70.69

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Solution

The fourth proportional to 72.05, 107.38 and 70.69 is: 105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.05 : 107.38 = 70.69 : x
  2. Step 2: Convert to fraction form
    72.05/107.38 = 70.69/x
  3. Step 3: Cross multiply
    72.05x = 107.38 × 70.69
  4. Step 4: Simplify right side
    72.05x = 7,590.69
  5. Step 5: Solve for x
    x = 7,590.69/72.05
  6. Step 6: Final answer
    x = 105.35

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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.