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Finding the Fourth Proportional to 131.65, 181.77 and 85.05

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Solution

The fourth proportional to 131.65, 181.77 and 85.05 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.65 : 181.77 = 85.05 : x
  2. Step 2: Convert to fraction form
    131.65/181.77 = 85.05/x
  3. Step 3: Cross multiply
    131.65x = 181.77 × 85.05
  4. Step 4: Simplify right side
    131.65x = 15,459.08
  5. Step 5: Solve for x
    x = 15,459.08/131.65
  6. Step 6: Final answer
    x = 117.43

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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.