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Finding the Fourth Proportional to 73.55, 110.33 and 30.24

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Solution

The fourth proportional to 73.55, 110.33 and 30.24 is: 45.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.55 : 110.33 = 30.24 : x
  2. Step 2: Convert to fraction form
    73.55/110.33 = 30.24/x
  3. Step 3: Cross multiply
    73.55x = 110.33 × 30.24
  4. Step 4: Simplify right side
    73.55x = 3,336.00
  5. Step 5: Solve for x
    x = 3,336.00/73.55
  6. Step 6: Final answer
    x = 45.36

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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.