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Finding the Fourth Proportional to 131, 180.78 and 72.78

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Solution

The fourth proportional to 131, 180.78 and 72.78 is: 100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131 : 180.78 = 72.78 : x
  2. Step 2: Convert to fraction form
    131/180.78 = 72.78/x
  3. Step 3: Cross multiply
    131x = 180.78 × 72.78
  4. Step 4: Simplify right side
    131x = 13,157.17
  5. Step 5: Solve for x
    x = 13,157.17/131
  6. Step 6: Final answer
    x = 100.44

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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.