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Finding the Fourth Proportional to 114.53, 171.72 and 45.97

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Solution

The fourth proportional to 114.53, 171.72 and 45.97 is: 68.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.53 : 171.72 = 45.97 : x
  2. Step 2: Convert to fraction form
    114.53/171.72 = 45.97/x
  3. Step 3: Cross multiply
    114.53x = 171.72 × 45.97
  4. Step 4: Simplify right side
    114.53x = 7,893.97
  5. Step 5: Solve for x
    x = 7,893.97/114.53
  6. Step 6: Final answer
    x = 68.92

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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.