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Finding the Fourth Proportional to 130.83, 180.34 and 110.07

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Solution

The fourth proportional to 130.83, 180.34 and 110.07 is: 151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 180.34 = 110.07 : x
  2. Step 2: Convert to fraction form
    130.83/180.34 = 110.07/x
  3. Step 3: Cross multiply
    130.83x = 180.34 × 110.07
  4. Step 4: Simplify right side
    130.83x = 19,849.75
  5. Step 5: Solve for x
    x = 19,849.75/130.83
  6. Step 6: Final answer
    x = 151.73

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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.