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Finding the Fourth Proportional to 75.22, 103.70 and 53.44

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Solution

The fourth proportional to 75.22, 103.70 and 53.44 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 103.70 = 53.44 : x
  2. Step 2: Convert to fraction form
    75.22/103.70 = 53.44/x
  3. Step 3: Cross multiply
    75.22x = 103.70 × 53.44
  4. Step 4: Simplify right side
    75.22x = 5,541.73
  5. Step 5: Solve for x
    x = 5,541.73/75.22
  6. Step 6: Final answer
    x = 73.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.