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Finding the Fourth Proportional to 128.13, 176.80 and 75.67

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Solution

The fourth proportional to 128.13, 176.80 and 75.67 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.13 : 176.80 = 75.67 : x
  2. Step 2: Convert to fraction form
    128.13/176.80 = 75.67/x
  3. Step 3: Cross multiply
    128.13x = 176.80 × 75.67
  4. Step 4: Simplify right side
    128.13x = 13,378.58
  5. Step 5: Solve for x
    x = 13,378.58/128.13
  6. Step 6: Final answer
    x = 104.41

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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.