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Finding the Fourth Proportional to 132.78, 182.86 and 107.04

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Solution

The fourth proportional to 132.78, 182.86 and 107.04 is: 147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 182.86 = 107.04 : x
  2. Step 2: Convert to fraction form
    132.78/182.86 = 107.04/x
  3. Step 3: Cross multiply
    132.78x = 182.86 × 107.04
  4. Step 4: Simplify right side
    132.78x = 19,573.67
  5. Step 5: Solve for x
    x = 19,573.67/132.78
  6. Step 6: Final answer
    x = 147.41

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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.