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Finding the Fourth Proportional to 132, 197.10 and 105

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Solution

The fourth proportional to 132, 197.10 and 105 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 197.10 = 105 : x
  2. Step 2: Convert to fraction form
    132/197.10 = 105/x
  3. Step 3: Cross multiply
    132x = 197.10 × 105
  4. Step 4: Simplify right side
    132x = 20,695.50
  5. Step 5: Solve for x
    x = 20,695.50/132
  6. Step 6: Final answer
    x = 156.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.