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Finding the Fourth Proportional to 109.98, 164.85 and 37.79

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Solution

The fourth proportional to 109.98, 164.85 and 37.79 is: 56.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 164.85 = 37.79 : x
  2. Step 2: Convert to fraction form
    109.98/164.85 = 37.79/x
  3. Step 3: Cross multiply
    109.98x = 164.85 × 37.79
  4. Step 4: Simplify right side
    109.98x = 6,228.86
  5. Step 5: Solve for x
    x = 6,228.86/109.98
  6. Step 6: Final answer
    x = 56.64

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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.