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Finding the Fourth Proportional to 169.56, 233.64 and 114.30

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Solution

The fourth proportional to 169.56, 233.64 and 114.30 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 233.64 = 114.30 : x
  2. Step 2: Convert to fraction form
    169.56/233.64 = 114.30/x
  3. Step 3: Cross multiply
    169.56x = 233.64 × 114.30
  4. Step 4: Simplify right side
    169.56x = 26,705.05
  5. Step 5: Solve for x
    x = 26,705.05/169.56
  6. Step 6: Final answer
    x = 157.50

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Why These Related Problems?

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