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Finding the Fourth Proportional to 131.86, 181.86 and 123.02

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Solution

The fourth proportional to 131.86, 181.86 and 123.02 is: 169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 181.86 = 123.02 : x
  2. Step 2: Convert to fraction form
    131.86/181.86 = 123.02/x
  3. Step 3: Cross multiply
    131.86x = 181.86 × 123.02
  4. Step 4: Simplify right side
    131.86x = 22,371.57
  5. Step 5: Solve for x
    x = 22,371.57/131.86
  6. Step 6: Final answer
    x = 169.66

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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.