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Finding the Fourth Proportional to 114.46, 171.62 and 44.99

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Solution

The fourth proportional to 114.46, 171.62 and 44.99 is: 67.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.46 : 171.62 = 44.99 : x
  2. Step 2: Convert to fraction form
    114.46/171.62 = 44.99/x
  3. Step 3: Cross multiply
    114.46x = 171.62 × 44.99
  4. Step 4: Simplify right side
    114.46x = 7,720.91
  5. Step 5: Solve for x
    x = 7,720.91/114.46
  6. Step 6: Final answer
    x = 67.45

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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.