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Finding the Fourth Proportional to 132.35, 199.06 and 105.35

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Solution

The fourth proportional to 132.35, 199.06 and 105.35 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.35 : 199.06 = 105.35 : x
  2. Step 2: Convert to fraction form
    132.35/199.06 = 105.35/x
  3. Step 3: Cross multiply
    132.35x = 199.06 × 105.35
  4. Step 4: Simplify right side
    132.35x = 20,969.71
  5. Step 5: Solve for x
    x = 20,969.71/132.35
  6. Step 6: Final answer
    x = 158.45

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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.