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Finding the Fourth Proportional to 114.65, 171.86 and 109.76

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Solution

The fourth proportional to 114.65, 171.86 and 109.76 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 171.86 = 109.76 : x
  2. Step 2: Convert to fraction form
    114.65/171.86 = 109.76/x
  3. Step 3: Cross multiply
    114.65x = 171.86 × 109.76
  4. Step 4: Simplify right side
    114.65x = 18,861.95
  5. Step 5: Solve for x
    x = 18,861.95/114.65
  6. Step 6: Final answer
    x = 164.52

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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.