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Finding the Fourth Proportional to 133.29, 183.19 and 117.65

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Solution

The fourth proportional to 133.29, 183.19 and 117.65 is: 161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.29 : 183.19 = 117.65 : x
  2. Step 2: Convert to fraction form
    133.29/183.19 = 117.65/x
  3. Step 3: Cross multiply
    133.29x = 183.19 × 117.65
  4. Step 4: Simplify right side
    133.29x = 21,552.50
  5. Step 5: Solve for x
    x = 21,552.50/133.29
  6. Step 6: Final answer
    x = 161.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.