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Finding the Fourth Proportional to 130.36, 195.60 and 94.58

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Solution

The fourth proportional to 130.36, 195.60 and 94.58 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 195.60 = 94.58 : x
  2. Step 2: Convert to fraction form
    130.36/195.60 = 94.58/x
  3. Step 3: Cross multiply
    130.36x = 195.60 × 94.58
  4. Step 4: Simplify right side
    130.36x = 18,499.61
  5. Step 5: Solve for x
    x = 18,499.61/130.36
  6. Step 6: Final answer
    x = 141.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.