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Finding the Fourth Proportional to 117.89, 176.87 and 99.80

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Solution

The fourth proportional to 117.89, 176.87 and 99.80 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.89 : 176.87 = 99.80 : x
  2. Step 2: Convert to fraction form
    117.89/176.87 = 99.80/x
  3. Step 3: Cross multiply
    117.89x = 176.87 × 99.80
  4. Step 4: Simplify right side
    117.89x = 17,651.63
  5. Step 5: Solve for x
    x = 17,651.63/117.89
  6. Step 6: Final answer
    x = 149.73

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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.