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Finding the Fourth Proportional to 130.97, 180.74 and 72.75

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Solution

The fourth proportional to 130.97, 180.74 and 72.75 is: 100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 180.74 = 72.75 : x
  2. Step 2: Convert to fraction form
    130.97/180.74 = 72.75/x
  3. Step 3: Cross multiply
    130.97x = 180.74 × 72.75
  4. Step 4: Simplify right side
    130.97x = 13,148.47
  5. Step 5: Solve for x
    x = 13,148.47/130.97
  6. Step 6: Final answer
    x = 100.39

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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.