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Finding the Fourth Proportional to 114.72, 171.36 and 108.90

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Solution

The fourth proportional to 114.72, 171.36 and 108.90 is: 162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 171.36 = 108.90 : x
  2. Step 2: Convert to fraction form
    114.72/171.36 = 108.90/x
  3. Step 3: Cross multiply
    114.72x = 171.36 × 108.90
  4. Step 4: Simplify right side
    114.72x = 18,661.10
  5. Step 5: Solve for x
    x = 18,661.10/114.72
  6. Step 6: Final answer
    x = 162.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.