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Finding the Fourth Proportional to 128.48, 177.19 and 84.23

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Solution

The fourth proportional to 128.48, 177.19 and 84.23 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.48 : 177.19 = 84.23 : x
  2. Step 2: Convert to fraction form
    128.48/177.19 = 84.23/x
  3. Step 3: Cross multiply
    128.48x = 177.19 × 84.23
  4. Step 4: Simplify right side
    128.48x = 14,924.95
  5. Step 5: Solve for x
    x = 14,924.95/128.48
  6. Step 6: Final answer
    x = 116.17

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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.