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Finding the Fourth Proportional to 133.95, 199.95 and 117.75

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Solution

The fourth proportional to 133.95, 199.95 and 117.75 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.95 : 199.95 = 117.75 : x
  2. Step 2: Convert to fraction form
    133.95/199.95 = 117.75/x
  3. Step 3: Cross multiply
    133.95x = 199.95 × 117.75
  4. Step 4: Simplify right side
    133.95x = 23,544.11
  5. Step 5: Solve for x
    x = 23,544.11/133.95
  6. Step 6: Final answer
    x = 175.77

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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.