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Finding the Fourth Proportional to 131.54, 181.54 and 76.28

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Solution

The fourth proportional to 131.54, 181.54 and 76.28 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 181.54 = 76.28 : x
  2. Step 2: Convert to fraction form
    131.54/181.54 = 76.28/x
  3. Step 3: Cross multiply
    131.54x = 181.54 × 76.28
  4. Step 4: Simplify right side
    131.54x = 13,847.49
  5. Step 5: Solve for x
    x = 13,847.49/131.54
  6. Step 6: Final answer
    x = 105.27

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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.