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Finding the Fourth Proportional to 118.95, 177.68 and 115.71

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Solution

The fourth proportional to 118.95, 177.68 and 115.71 is: 172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.95 : 177.68 = 115.71 : x
  2. Step 2: Convert to fraction form
    118.95/177.68 = 115.71/x
  3. Step 3: Cross multiply
    118.95x = 177.68 × 115.71
  4. Step 4: Simplify right side
    118.95x = 20,558.77
  5. Step 5: Solve for x
    x = 20,558.77/118.95
  6. Step 6: Final answer
    x = 172.84

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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.