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Finding the Fourth Proportional to 73.74, 110.59 and 30.41

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Solution

The fourth proportional to 73.74, 110.59 and 30.41 is: 45.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.74 : 110.59 = 30.41 : x
  2. Step 2: Convert to fraction form
    73.74/110.59 = 30.41/x
  3. Step 3: Cross multiply
    73.74x = 110.59 × 30.41
  4. Step 4: Simplify right side
    73.74x = 3,362.34
  5. Step 5: Solve for x
    x = 3,362.34/73.74
  6. Step 6: Final answer
    x = 45.60

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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.