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Finding the Fourth Proportional to 132.95, 183.62 and 103.80

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Solution

The fourth proportional to 132.95, 183.62 and 103.80 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.95 : 183.62 = 103.80 : x
  2. Step 2: Convert to fraction form
    132.95/183.62 = 103.80/x
  3. Step 3: Cross multiply
    132.95x = 183.62 × 103.80
  4. Step 4: Simplify right side
    132.95x = 19,059.76
  5. Step 5: Solve for x
    x = 19,059.76/132.95
  6. Step 6: Final answer
    x = 143.36

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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.