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Finding the Fourth Proportional to 94.30, 130.14 and 54.96

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Solution

The fourth proportional to 94.30, 130.14 and 54.96 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.30 : 130.14 = 54.96 : x
  2. Step 2: Convert to fraction form
    94.30/130.14 = 54.96/x
  3. Step 3: Cross multiply
    94.30x = 130.14 × 54.96
  4. Step 4: Simplify right side
    94.30x = 7,152.22
  5. Step 5: Solve for x
    x = 7,152.22/94.30
  6. Step 6: Final answer
    x = 75.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.