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Finding the Fourth Proportional to 130.36, 179.88 and 77.88

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Solution

The fourth proportional to 130.36, 179.88 and 77.88 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 179.88 = 77.88 : x
  2. Step 2: Convert to fraction form
    130.36/179.88 = 77.88/x
  3. Step 3: Cross multiply
    130.36x = 179.88 × 77.88
  4. Step 4: Simplify right side
    130.36x = 14,009.05
  5. Step 5: Solve for x
    x = 14,009.05/130.36
  6. Step 6: Final answer
    x = 107.46

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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.