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Finding the Fourth Proportional to 109.80, 167.93 and 109.80

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Solution

The fourth proportional to 109.80, 167.93 and 109.80 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 167.93 = 109.80 : x
  2. Step 2: Convert to fraction form
    109.80/167.93 = 109.80/x
  3. Step 3: Cross multiply
    109.80x = 167.93 × 109.80
  4. Step 4: Simplify right side
    109.80x = 18,438.71
  5. Step 5: Solve for x
    x = 18,438.71/109.80
  6. Step 6: Final answer
    x = 167.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.