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Finding the Fourth Proportional to 128.49, 177.33 and 76.08

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Solution

The fourth proportional to 128.49, 177.33 and 76.08 is: 105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.49 : 177.33 = 76.08 : x
  2. Step 2: Convert to fraction form
    128.49/177.33 = 76.08/x
  3. Step 3: Cross multiply
    128.49x = 177.33 × 76.08
  4. Step 4: Simplify right side
    128.49x = 13,491.27
  5. Step 5: Solve for x
    x = 13,491.27/128.49
  6. Step 6: Final answer
    x = 105.00

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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.