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Finding the Fourth Proportional to 120.55, 181.00 and 74.76

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Solution

The fourth proportional to 120.55, 181.00 and 74.76 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.55 : 181.00 = 74.76 : x
  2. Step 2: Convert to fraction form
    120.55/181.00 = 74.76/x
  3. Step 3: Cross multiply
    120.55x = 181.00 × 74.76
  4. Step 4: Simplify right side
    120.55x = 13,531.75
  5. Step 5: Solve for x
    x = 13,531.75/120.55
  6. Step 6: Final answer
    x = 112.25

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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.