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Finding the Fourth Proportional to 169.86, 234.51 and 110.89

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Solution

The fourth proportional to 169.86, 234.51 and 110.89 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 234.51 = 110.89 : x
  2. Step 2: Convert to fraction form
    169.86/234.51 = 110.89/x
  3. Step 3: Cross multiply
    169.86x = 234.51 × 110.89
  4. Step 4: Simplify right side
    169.86x = 26,004.81
  5. Step 5: Solve for x
    x = 26,004.81/169.86
  6. Step 6: Final answer
    x = 153.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.