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Finding the Fourth Proportional to 169.32, 233.70 and 114.16

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Solution

The fourth proportional to 169.32, 233.70 and 114.16 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 233.70 = 114.16 : x
  2. Step 2: Convert to fraction form
    169.32/233.70 = 114.16/x
  3. Step 3: Cross multiply
    169.32x = 233.70 × 114.16
  4. Step 4: Simplify right side
    169.32x = 26,679.19
  5. Step 5: Solve for x
    x = 26,679.19/169.32
  6. Step 6: Final answer
    x = 157.57

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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.