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Finding the Fourth Proportional to 155.34, 214.14 and 128.79

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Solution

The fourth proportional to 155.34, 214.14 and 128.79 is: 177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.34 : 214.14 = 128.79 : x
  2. Step 2: Convert to fraction form
    155.34/214.14 = 128.79/x
  3. Step 3: Cross multiply
    155.34x = 214.14 × 128.79
  4. Step 4: Simplify right side
    155.34x = 27,579.09
  5. Step 5: Solve for x
    x = 27,579.09/155.34
  6. Step 6: Final answer
    x = 177.54

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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.