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Finding the Fourth Proportional to 94.72, 130.80 and 77.60

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Solution

The fourth proportional to 94.72, 130.80 and 77.60 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 130.80 = 77.60 : x
  2. Step 2: Convert to fraction form
    94.72/130.80 = 77.60/x
  3. Step 3: Cross multiply
    94.72x = 130.80 × 77.60
  4. Step 4: Simplify right side
    94.72x = 10,150.08
  5. Step 5: Solve for x
    x = 10,150.08/94.72
  6. Step 6: Final answer
    x = 107.16

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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.