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Finding the Fourth Proportional to 73.35, 110.04 and 24.60

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Solution

The fourth proportional to 73.35, 110.04 and 24.60 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.35 : 110.04 = 24.60 : x
  2. Step 2: Convert to fraction form
    73.35/110.04 = 24.60/x
  3. Step 3: Cross multiply
    73.35x = 110.04 × 24.60
  4. Step 4: Simplify right side
    73.35x = 2,707.30
  5. Step 5: Solve for x
    x = 2,707.30/73.35
  6. Step 6: Final answer
    x = 36.91

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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.