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Finding the Fourth Proportional to 114.33, 171.57 and 105.06

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Solution

The fourth proportional to 114.33, 171.57 and 105.06 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 171.57 = 105.06 : x
  2. Step 2: Convert to fraction form
    114.33/171.57 = 105.06/x
  3. Step 3: Cross multiply
    114.33x = 171.57 × 105.06
  4. Step 4: Simplify right side
    114.33x = 18,025.14
  5. Step 5: Solve for x
    x = 18,025.14/114.33
  6. Step 6: Final answer
    x = 157.66

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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.