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Finding the Fourth Proportional to 130.51, 180.17 and 83.91

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Solution

The fourth proportional to 130.51, 180.17 and 83.91 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 180.17 = 83.91 : x
  2. Step 2: Convert to fraction form
    130.51/180.17 = 83.91/x
  3. Step 3: Cross multiply
    130.51x = 180.17 × 83.91
  4. Step 4: Simplify right side
    130.51x = 15,116.74
  5. Step 5: Solve for x
    x = 15,116.74/130.51
  6. Step 6: Final answer
    x = 115.83

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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.