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Finding the Fourth Proportional to 130.46, 180.13 and 83.90

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Solution

The fourth proportional to 130.46, 180.13 and 83.90 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 180.13 = 83.90 : x
  2. Step 2: Convert to fraction form
    130.46/180.13 = 83.90/x
  3. Step 3: Cross multiply
    130.46x = 180.13 × 83.90
  4. Step 4: Simplify right side
    130.46x = 15,112.91
  5. Step 5: Solve for x
    x = 15,112.91/130.46
  6. Step 6: Final answer
    x = 115.84

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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.