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Finding the Fourth Proportional to 130, 179.44 and 77.56

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Solution

The fourth proportional to 130, 179.44 and 77.56 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 179.44 = 77.56 : x
  2. Step 2: Convert to fraction form
    130/179.44 = 77.56/x
  3. Step 3: Cross multiply
    130x = 179.44 × 77.56
  4. Step 4: Simplify right side
    130x = 13,917.37
  5. Step 5: Solve for x
    x = 13,917.37/130
  6. Step 6: Final answer
    x = 107.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.