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Finding the Fourth Proportional to 73.54, 110.36 and 32.98

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Solution

The fourth proportional to 73.54, 110.36 and 32.98 is: 49.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 110.36 = 32.98 : x
  2. Step 2: Convert to fraction form
    73.54/110.36 = 32.98/x
  3. Step 3: Cross multiply
    73.54x = 110.36 × 32.98
  4. Step 4: Simplify right side
    73.54x = 3,639.67
  5. Step 5: Solve for x
    x = 3,639.67/73.54
  6. Step 6: Final answer
    x = 49.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.