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Finding the Fourth Proportional to 94.80, 128.16 and 94.80

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Solution

The fourth proportional to 94.80, 128.16 and 94.80 is: 128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.80 : 128.16 = 94.80 : x
  2. Step 2: Convert to fraction form
    94.80/128.16 = 94.80/x
  3. Step 3: Cross multiply
    94.80x = 128.16 × 94.80
  4. Step 4: Simplify right side
    94.80x = 12,149.57
  5. Step 5: Solve for x
    x = 12,149.57/94.80
  6. Step 6: Final answer
    x = 128.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.