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Finding the Fourth Proportional to 123.01, 169.66 and 113.78

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Solution

The fourth proportional to 123.01, 169.66 and 113.78 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.01 : 169.66 = 113.78 : x
  2. Step 2: Convert to fraction form
    123.01/169.66 = 113.78/x
  3. Step 3: Cross multiply
    123.01x = 169.66 × 113.78
  4. Step 4: Simplify right side
    123.01x = 19,303.91
  5. Step 5: Solve for x
    x = 19,303.91/123.01
  6. Step 6: Final answer
    x = 156.93

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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.