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Finding the Fourth Proportional to 130.97, 180.11 and 105.77

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Solution

The fourth proportional to 130.97, 180.11 and 105.77 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 180.11 = 105.77 : x
  2. Step 2: Convert to fraction form
    130.97/180.11 = 105.77/x
  3. Step 3: Cross multiply
    130.97x = 180.11 × 105.77
  4. Step 4: Simplify right side
    130.97x = 19,050.95
  5. Step 5: Solve for x
    x = 19,050.95/130.97
  6. Step 6: Final answer
    x = 145.46

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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.