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Finding the Fourth Proportional to 94.30, 130.12 and 73.54

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Solution

The fourth proportional to 94.30, 130.12 and 73.54 is: 101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.30 : 130.12 = 73.54 : x
  2. Step 2: Convert to fraction form
    94.30/130.12 = 73.54/x
  3. Step 3: Cross multiply
    94.30x = 130.12 × 73.54
  4. Step 4: Simplify right side
    94.30x = 9,568.66
  5. Step 5: Solve for x
    x = 9,568.66/94.30
  6. Step 6: Final answer
    x = 101.47

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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.