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Finding the Fourth Proportional to 114.54, 171.54 and 75.91

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Solution

The fourth proportional to 114.54, 171.54 and 75.91 is: 113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 171.54 = 75.91 : x
  2. Step 2: Convert to fraction form
    114.54/171.54 = 75.91/x
  3. Step 3: Cross multiply
    114.54x = 171.54 × 75.91
  4. Step 4: Simplify right side
    114.54x = 13,021.60
  5. Step 5: Solve for x
    x = 13,021.60/114.54
  6. Step 6: Final answer
    x = 113.69

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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.