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Finding the Fourth Proportional to 73.69, 109.78 and 71.06

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Solution

The fourth proportional to 73.69, 109.78 and 71.06 is: 105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 109.78 = 71.06 : x
  2. Step 2: Convert to fraction form
    73.69/109.78 = 71.06/x
  3. Step 3: Cross multiply
    73.69x = 109.78 × 71.06
  4. Step 4: Simplify right side
    73.69x = 7,800.24
  5. Step 5: Solve for x
    x = 7,800.24/73.69
  6. Step 6: Final answer
    x = 105.86

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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.