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Finding the Fourth Proportional to 73.40, 109.83 and 56.22

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Solution

The fourth proportional to 73.40, 109.83 and 56.22 is: 84.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.40 : 109.83 = 56.22 : x
  2. Step 2: Convert to fraction form
    73.40/109.83 = 56.22/x
  3. Step 3: Cross multiply
    73.40x = 109.83 × 56.22
  4. Step 4: Simplify right side
    73.40x = 6,174.64
  5. Step 5: Solve for x
    x = 6,174.64/73.40
  6. Step 6: Final answer
    x = 84.12

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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.