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Finding the Fourth Proportional to 77.02, 105.46 and 74.30

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Solution

The fourth proportional to 77.02, 105.46 and 74.30 is: 101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 105.46 = 74.30 : x
  2. Step 2: Convert to fraction form
    77.02/105.46 = 74.30/x
  3. Step 3: Cross multiply
    77.02x = 105.46 × 74.30
  4. Step 4: Simplify right side
    77.02x = 7,835.68
  5. Step 5: Solve for x
    x = 7,835.68/77.02
  6. Step 6: Final answer
    x = 101.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.