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Finding the Fourth Proportional to 169.32, 233.67 and 99.37

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Solution

The fourth proportional to 169.32, 233.67 and 99.37 is: 137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 233.67 = 99.37 : x
  2. Step 2: Convert to fraction form
    169.32/233.67 = 99.37/x
  3. Step 3: Cross multiply
    169.32x = 233.67 × 99.37
  4. Step 4: Simplify right side
    169.32x = 23,219.79
  5. Step 5: Solve for x
    x = 23,219.79/169.32
  6. Step 6: Final answer
    x = 137.14

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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.