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Finding the Fourth Proportional to 117.99, 176.09 and 116.46

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Solution

The fourth proportional to 117.99, 176.09 and 116.46 is: 173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 176.09 = 116.46 : x
  2. Step 2: Convert to fraction form
    117.99/176.09 = 116.46/x
  3. Step 3: Cross multiply
    117.99x = 176.09 × 116.46
  4. Step 4: Simplify right side
    117.99x = 20,506.86
  5. Step 5: Solve for x
    x = 20,506.86/117.99
  6. Step 6: Final answer
    x = 173.80

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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.