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Finding the Fourth Proportional to 169.13, 253.70 and 123.76

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Solution

The fourth proportional to 169.13, 253.70 and 123.76 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.13 : 253.70 = 123.76 : x
  2. Step 2: Convert to fraction form
    169.13/253.70 = 123.76/x
  3. Step 3: Cross multiply
    169.13x = 253.70 × 123.76
  4. Step 4: Simplify right side
    169.13x = 31,397.91
  5. Step 5: Solve for x
    x = 31,397.91/169.13
  6. Step 6: Final answer
    x = 185.65

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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.