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Finding the Fourth Proportional to 130.98, 180.77 and 75.74

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Solution

The fourth proportional to 130.98, 180.77 and 75.74 is: 104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 180.77 = 75.74 : x
  2. Step 2: Convert to fraction form
    130.98/180.77 = 75.74/x
  3. Step 3: Cross multiply
    130.98x = 180.77 × 75.74
  4. Step 4: Simplify right side
    130.98x = 13,691.52
  5. Step 5: Solve for x
    x = 13,691.52/130.98
  6. Step 6: Final answer
    x = 104.53

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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.