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Finding the Fourth Proportional to 128.56, 177.36 and 76.72

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Solution

The fourth proportional to 128.56, 177.36 and 76.72 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.56 : 177.36 = 76.72 : x
  2. Step 2: Convert to fraction form
    128.56/177.36 = 76.72/x
  3. Step 3: Cross multiply
    128.56x = 177.36 × 76.72
  4. Step 4: Simplify right side
    128.56x = 13,607.06
  5. Step 5: Solve for x
    x = 13,607.06/128.56
  6. Step 6: Final answer
    x = 105.84

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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.