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Finding the Fourth Proportional to 131.04, 180.84 and 75.78

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Solution

The fourth proportional to 131.04, 180.84 and 75.78 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.04 : 180.84 = 75.78 : x
  2. Step 2: Convert to fraction form
    131.04/180.84 = 75.78/x
  3. Step 3: Cross multiply
    131.04x = 180.84 × 75.78
  4. Step 4: Simplify right side
    131.04x = 13,704.34
  5. Step 5: Solve for x
    x = 13,704.34/131.04
  6. Step 6: Final answer
    x = 104.58

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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.