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Finding the Fourth Proportional to 130.68, 180.32 and 78.22

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Solution

The fourth proportional to 130.68, 180.32 and 78.22 is: 107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 180.32 = 78.22 : x
  2. Step 2: Convert to fraction form
    130.68/180.32 = 78.22/x
  3. Step 3: Cross multiply
    130.68x = 180.32 × 78.22
  4. Step 4: Simplify right side
    130.68x = 14,104.63
  5. Step 5: Solve for x
    x = 14,104.63/130.68
  6. Step 6: Final answer
    x = 107.93

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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.