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Finding the Fourth Proportional to 120.58, 180.58 and 74.78

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Solution

The fourth proportional to 120.58, 180.58 and 74.78 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 180.58 = 74.78 : x
  2. Step 2: Convert to fraction form
    120.58/180.58 = 74.78/x
  3. Step 3: Cross multiply
    120.58x = 180.58 × 74.78
  4. Step 4: Simplify right side
    120.58x = 13,503.77
  5. Step 5: Solve for x
    x = 13,503.77/120.58
  6. Step 6: Final answer
    x = 111.99

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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.