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Finding the Fourth Proportional to 114.14, 171.18 and 45.65

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Solution

The fourth proportional to 114.14, 171.18 and 45.65 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 171.18 = 45.65 : x
  2. Step 2: Convert to fraction form
    114.14/171.18 = 45.65/x
  3. Step 3: Cross multiply
    114.14x = 171.18 × 45.65
  4. Step 4: Simplify right side
    114.14x = 7,813.98
  5. Step 5: Solve for x
    x = 7,813.98/114.14
  6. Step 6: Final answer
    x = 68.46

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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.