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Finding the Fourth Proportional to 131.42, 181.49 and 116.84

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Solution

The fourth proportional to 131.42, 181.49 and 116.84 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.42 : 181.49 = 116.84 : x
  2. Step 2: Convert to fraction form
    131.42/181.49 = 116.84/x
  3. Step 3: Cross multiply
    131.42x = 181.49 × 116.84
  4. Step 4: Simplify right side
    131.42x = 21,205.16
  5. Step 5: Solve for x
    x = 21,205.16/131.42
  6. Step 6: Final answer
    x = 161.35

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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.