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Finding the Fourth Proportional to 164.12, 246.14 and 77.45

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Solution

The fourth proportional to 164.12, 246.14 and 77.45 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.12 : 246.14 = 77.45 : x
  2. Step 2: Convert to fraction form
    164.12/246.14 = 77.45/x
  3. Step 3: Cross multiply
    164.12x = 246.14 × 77.45
  4. Step 4: Simplify right side
    164.12x = 19,061.93
  5. Step 5: Solve for x
    x = 19,061.93/164.12
  6. Step 6: Final answer
    x = 116.15

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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.