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Finding the Fourth Proportional to 118.40, 176.64 and 107.52

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Solution

The fourth proportional to 118.40, 176.64 and 107.52 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 176.64 = 107.52 : x
  2. Step 2: Convert to fraction form
    118.40/176.64 = 107.52/x
  3. Step 3: Cross multiply
    118.40x = 176.64 × 107.52
  4. Step 4: Simplify right side
    118.40x = 18,992.33
  5. Step 5: Solve for x
    x = 18,992.33/118.40
  6. Step 6: Final answer
    x = 160.41

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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.