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Finding the Fourth Proportional to 131.46, 181.56 and 102.30

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Solution

The fourth proportional to 131.46, 181.56 and 102.30 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 181.56 = 102.30 : x
  2. Step 2: Convert to fraction form
    131.46/181.56 = 102.30/x
  3. Step 3: Cross multiply
    131.46x = 181.56 × 102.30
  4. Step 4: Simplify right side
    131.46x = 18,573.45
  5. Step 5: Solve for x
    x = 18,573.45/131.46
  6. Step 6: Final answer
    x = 141.29

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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.