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Finding the Fourth Proportional to 114.24, 171 and 105.20

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Solution

The fourth proportional to 114.24, 171 and 105.20 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 171 = 105.20 : x
  2. Step 2: Convert to fraction form
    114.24/171 = 105.20/x
  3. Step 3: Cross multiply
    114.24x = 171 × 105.20
  4. Step 4: Simplify right side
    114.24x = 17,989.20
  5. Step 5: Solve for x
    x = 17,989.20/114.24
  6. Step 6: Final answer
    x = 157.47

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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.