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Finding the Fourth Proportional to 130.25, 179.72 and 77.78

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Solution

The fourth proportional to 130.25, 179.72 and 77.78 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 179.72 = 77.78 : x
  2. Step 2: Convert to fraction form
    130.25/179.72 = 77.78/x
  3. Step 3: Cross multiply
    130.25x = 179.72 × 77.78
  4. Step 4: Simplify right side
    130.25x = 13,977.33
  5. Step 5: Solve for x
    x = 13,977.33/130.25
  6. Step 6: Final answer
    x = 107.32

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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.