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Finding the Fourth Proportional to 132.14, 197.90 and 78.06

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Solution

The fourth proportional to 132.14, 197.90 and 78.06 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 197.90 = 78.06 : x
  2. Step 2: Convert to fraction form
    132.14/197.90 = 78.06/x
  3. Step 3: Cross multiply
    132.14x = 197.90 × 78.06
  4. Step 4: Simplify right side
    132.14x = 15,448.07
  5. Step 5: Solve for x
    x = 15,448.07/132.14
  6. Step 6: Final answer
    x = 116.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.