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Finding the Fourth Proportional to 73.19, 109.74 and 29.84

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Solution

The fourth proportional to 73.19, 109.74 and 29.84 is: 44.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.19 : 109.74 = 29.84 : x
  2. Step 2: Convert to fraction form
    73.19/109.74 = 29.84/x
  3. Step 3: Cross multiply
    73.19x = 109.74 × 29.84
  4. Step 4: Simplify right side
    73.19x = 3,275.09
  5. Step 5: Solve for x
    x = 3,275.09/73.19
  6. Step 6: Final answer
    x = 44.75

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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.