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Finding the Fourth Proportional to 130.29, 179.91 and 97.49

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Solution

The fourth proportional to 130.29, 179.91 and 97.49 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.29 : 179.91 = 97.49 : x
  2. Step 2: Convert to fraction form
    130.29/179.91 = 97.49/x
  3. Step 3: Cross multiply
    130.29x = 179.91 × 97.49
  4. Step 4: Simplify right side
    130.29x = 17,538.53
  5. Step 5: Solve for x
    x = 17,538.53/130.29
  6. Step 6: Final answer
    x = 134.61

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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.