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Finding the Fourth Proportional to 169.17, 253.64 and 105.03

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Solution

The fourth proportional to 169.17, 253.64 and 105.03 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.17 : 253.64 = 105.03 : x
  2. Step 2: Convert to fraction form
    169.17/253.64 = 105.03/x
  3. Step 3: Cross multiply
    169.17x = 253.64 × 105.03
  4. Step 4: Simplify right side
    169.17x = 26,639.28
  5. Step 5: Solve for x
    x = 26,639.28/169.17
  6. Step 6: Final answer
    x = 157.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.