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Finding the Fourth Proportional to 169.17, 233.54 and 107.06

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Solution

The fourth proportional to 169.17, 233.54 and 107.06 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.17 : 233.54 = 107.06 : x
  2. Step 2: Convert to fraction form
    169.17/233.54 = 107.06/x
  3. Step 3: Cross multiply
    169.17x = 233.54 × 107.06
  4. Step 4: Simplify right side
    169.17x = 25,002.40
  5. Step 5: Solve for x
    x = 25,002.40/169.17
  6. Step 6: Final answer
    x = 147.80

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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.