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Finding the Fourth Proportional to 131.56, 196.32 and 125.08

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Solution

The fourth proportional to 131.56, 196.32 and 125.08 is: 186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.56 : 196.32 = 125.08 : x
  2. Step 2: Convert to fraction form
    131.56/196.32 = 125.08/x
  3. Step 3: Cross multiply
    131.56x = 196.32 × 125.08
  4. Step 4: Simplify right side
    131.56x = 24,555.71
  5. Step 5: Solve for x
    x = 24,555.71/131.56
  6. Step 6: Final answer
    x = 186.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.