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Finding the Fourth Proportional to 130.77, 196.29 and 94.59

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Solution

The fourth proportional to 130.77, 196.29 and 94.59 is: 141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.77 : 196.29 = 94.59 : x
  2. Step 2: Convert to fraction form
    130.77/196.29 = 94.59/x
  3. Step 3: Cross multiply
    130.77x = 196.29 × 94.59
  4. Step 4: Simplify right side
    130.77x = 18,567.07
  5. Step 5: Solve for x
    x = 18,567.07/130.77
  6. Step 6: Final answer
    x = 141.98

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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.