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Finding the Fourth Proportional to 169.30, 233.58 and 111.12

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Solution

The fourth proportional to 169.30, 233.58 and 111.12 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.30 : 233.58 = 111.12 : x
  2. Step 2: Convert to fraction form
    169.30/233.58 = 111.12/x
  3. Step 3: Cross multiply
    169.30x = 233.58 × 111.12
  4. Step 4: Simplify right side
    169.30x = 25,955.41
  5. Step 5: Solve for x
    x = 25,955.41/169.30
  6. Step 6: Final answer
    x = 153.31

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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.