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Finding the Fourth Proportional to 133.10, 199.65 and 41.80

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Solution

The fourth proportional to 133.10, 199.65 and 41.80 is: 62.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 199.65 = 41.80 : x
  2. Step 2: Convert to fraction form
    133.10/199.65 = 41.80/x
  3. Step 3: Cross multiply
    133.10x = 199.65 × 41.80
  4. Step 4: Simplify right side
    133.10x = 8,345.37
  5. Step 5: Solve for x
    x = 8,345.37/133.10
  6. Step 6: Final answer
    x = 62.70

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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.