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Finding the Fourth Proportional to 130.83, 180.69 and 103.40

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Solution

The fourth proportional to 130.83, 180.69 and 103.40 is: 142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 180.69 = 103.40 : x
  2. Step 2: Convert to fraction form
    130.83/180.69 = 103.40/x
  3. Step 3: Cross multiply
    130.83x = 180.69 × 103.40
  4. Step 4: Simplify right side
    130.83x = 18,683.41
  5. Step 5: Solve for x
    x = 18,683.41/130.83
  6. Step 6: Final answer
    x = 142.81

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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.