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Finding the Fourth Proportional to 123.06, 169.65 and 101.07

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Solution

The fourth proportional to 123.06, 169.65 and 101.07 is: 139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 169.65 = 101.07 : x
  2. Step 2: Convert to fraction form
    123.06/169.65 = 101.07/x
  3. Step 3: Cross multiply
    123.06x = 169.65 × 101.07
  4. Step 4: Simplify right side
    123.06x = 17,146.53
  5. Step 5: Solve for x
    x = 17,146.53/123.06
  6. Step 6: Final answer
    x = 139.33

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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.