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Finding the Fourth Proportional to 73.19, 109.82 and 37.15

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Solution

The fourth proportional to 73.19, 109.82 and 37.15 is: 55.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.19 : 109.82 = 37.15 : x
  2. Step 2: Convert to fraction form
    73.19/109.82 = 37.15/x
  3. Step 3: Cross multiply
    73.19x = 109.82 × 37.15
  4. Step 4: Simplify right side
    73.19x = 4,079.81
  5. Step 5: Solve for x
    x = 4,079.81/73.19
  6. Step 6: Final answer
    x = 55.74

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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.