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Finding the Fourth Proportional to 73.22, 109.37 and 59.54

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Solution

The fourth proportional to 73.22, 109.37 and 59.54 is: 88.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.22 : 109.37 = 59.54 : x
  2. Step 2: Convert to fraction form
    73.22/109.37 = 59.54/x
  3. Step 3: Cross multiply
    73.22x = 109.37 × 59.54
  4. Step 4: Simplify right side
    73.22x = 6,511.49
  5. Step 5: Solve for x
    x = 6,511.49/73.22
  6. Step 6: Final answer
    x = 88.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.