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Finding the Fourth Proportional to 164.13, 246.16 and 72.77

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Solution

The fourth proportional to 164.13, 246.16 and 72.77 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 246.16 = 72.77 : x
  2. Step 2: Convert to fraction form
    164.13/246.16 = 72.77/x
  3. Step 3: Cross multiply
    164.13x = 246.16 × 72.77
  4. Step 4: Simplify right side
    164.13x = 17,911.91
  5. Step 5: Solve for x
    x = 17,911.91/164.13
  6. Step 6: Final answer
    x = 109.13

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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.