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Finding the Fourth Proportional to 164.76, 246.62 and 87.63

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Solution

The fourth proportional to 164.76, 246.62 and 87.63 is: 131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 246.62 = 87.63 : x
  2. Step 2: Convert to fraction form
    164.76/246.62 = 87.63/x
  3. Step 3: Cross multiply
    164.76x = 246.62 × 87.63
  4. Step 4: Simplify right side
    164.76x = 21,611.31
  5. Step 5: Solve for x
    x = 21,611.31/164.76
  6. Step 6: Final answer
    x = 131.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.