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Finding the Fourth Proportional to 120.58, 180.71 and 77.23

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Solution

The fourth proportional to 120.58, 180.71 and 77.23 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 180.71 = 77.23 : x
  2. Step 2: Convert to fraction form
    120.58/180.71 = 77.23/x
  3. Step 3: Cross multiply
    120.58x = 180.71 × 77.23
  4. Step 4: Simplify right side
    120.58x = 13,956.23
  5. Step 5: Solve for x
    x = 13,956.23/120.58
  6. Step 6: Final answer
    x = 115.74

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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.