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Finding the Fourth Proportional to 128.53, 177.62 and 112.33

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Solution

The fourth proportional to 128.53, 177.62 and 112.33 is: 155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.53 : 177.62 = 112.33 : x
  2. Step 2: Convert to fraction form
    128.53/177.62 = 112.33/x
  3. Step 3: Cross multiply
    128.53x = 177.62 × 112.33
  4. Step 4: Simplify right side
    128.53x = 19,951.49
  5. Step 5: Solve for x
    x = 19,951.49/128.53
  6. Step 6: Final answer
    x = 155.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.