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Finding the Fourth Proportional to 114.13, 171.09 and 45.64

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Solution

The fourth proportional to 114.13, 171.09 and 45.64 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.13 : 171.09 = 45.64 : x
  2. Step 2: Convert to fraction form
    114.13/171.09 = 45.64/x
  3. Step 3: Cross multiply
    114.13x = 171.09 × 45.64
  4. Step 4: Simplify right side
    114.13x = 7,808.55
  5. Step 5: Solve for x
    x = 7,808.55/114.13
  6. Step 6: Final answer
    x = 68.42

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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.