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Finding the Fourth Proportional to 131.69, 181.76 and 79.25

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Solution

The fourth proportional to 131.69, 181.76 and 79.25 is: 109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.69 : 181.76 = 79.25 : x
  2. Step 2: Convert to fraction form
    131.69/181.76 = 79.25/x
  3. Step 3: Cross multiply
    131.69x = 181.76 × 79.25
  4. Step 4: Simplify right side
    131.69x = 14,403.17
  5. Step 5: Solve for x
    x = 14,403.17/131.69
  6. Step 6: Final answer
    x = 109.37

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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.