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Finding the Fourth Proportional to 128.44, 177.31 and 84.90

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Solution

The fourth proportional to 128.44, 177.31 and 84.90 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.44 : 177.31 = 84.90 : x
  2. Step 2: Convert to fraction form
    128.44/177.31 = 84.90/x
  3. Step 3: Cross multiply
    128.44x = 177.31 × 84.90
  4. Step 4: Simplify right side
    128.44x = 15,053.63
  5. Step 5: Solve for x
    x = 15,053.63/128.44
  6. Step 6: Final answer
    x = 117.21

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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.