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Finding the Fourth Proportional to 131.13, 196.63 and 77.00

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Solution

The fourth proportional to 131.13, 196.63 and 77.00 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.13 : 196.63 = 77.00 : x
  2. Step 2: Convert to fraction form
    131.13/196.63 = 77.00/x
  3. Step 3: Cross multiply
    131.13x = 196.63 × 77.00
  4. Step 4: Simplify right side
    131.13x = 15,139.33
  5. Step 5: Solve for x
    x = 15,139.33/131.13
  6. Step 6: Final answer
    x = 115.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.