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Finding the Fourth Proportional to 114, 171 and 45.57

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Solution

The fourth proportional to 114, 171 and 45.57 is: 68.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 171 = 45.57 : x
  2. Step 2: Convert to fraction form
    114/171 = 45.57/x
  3. Step 3: Cross multiply
    114x = 171 × 45.57
  4. Step 4: Simplify right side
    114x = 7,792.47
  5. Step 5: Solve for x
    x = 7,792.47/114
  6. Step 6: Final answer
    x = 68.36

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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.