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Finding the Fourth Proportional to 169.16, 233.56 and 111.06

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Solution

The fourth proportional to 169.16, 233.56 and 111.06 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.56 = 111.06 : x
  2. Step 2: Convert to fraction form
    169.16/233.56 = 111.06/x
  3. Step 3: Cross multiply
    169.16x = 233.56 × 111.06
  4. Step 4: Simplify right side
    169.16x = 25,939.17
  5. Step 5: Solve for x
    x = 25,939.17/169.16
  6. Step 6: Final answer
    x = 153.34

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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.