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Finding the Fourth Proportional to 130.26, 178.81 and 117.30

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Solution

The fourth proportional to 130.26, 178.81 and 117.30 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.26 : 178.81 = 117.30 : x
  2. Step 2: Convert to fraction form
    130.26/178.81 = 117.30/x
  3. Step 3: Cross multiply
    130.26x = 178.81 × 117.30
  4. Step 4: Simplify right side
    130.26x = 20,974.41
  5. Step 5: Solve for x
    x = 20,974.41/130.26
  6. Step 6: Final answer
    x = 161.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.