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Finding the Fourth Proportional to 131.48, 180.97 and 92.60

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Solution

The fourth proportional to 131.48, 180.97 and 92.60 is: 127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.48 : 180.97 = 92.60 : x
  2. Step 2: Convert to fraction form
    131.48/180.97 = 92.60/x
  3. Step 3: Cross multiply
    131.48x = 180.97 × 92.60
  4. Step 4: Simplify right side
    131.48x = 16,756.69
  5. Step 5: Solve for x
    x = 16,756.69/131.48
  6. Step 6: Final answer
    x = 127.45

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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.