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Finding the Fourth Proportional to 114.86, 172.10 and 105.42

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Solution

The fourth proportional to 114.86, 172.10 and 105.42 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.86 : 172.10 = 105.42 : x
  2. Step 2: Convert to fraction form
    114.86/172.10 = 105.42/x
  3. Step 3: Cross multiply
    114.86x = 172.10 × 105.42
  4. Step 4: Simplify right side
    114.86x = 18,142.25
  5. Step 5: Solve for x
    x = 18,142.25/114.86
  6. Step 6: Final answer
    x = 157.96

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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.