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Finding the Fourth Proportional to 136.47, 188.19 and 123.51

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Solution

The fourth proportional to 136.47, 188.19 and 123.51 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.47 : 188.19 = 123.51 : x
  2. Step 2: Convert to fraction form
    136.47/188.19 = 123.51/x
  3. Step 3: Cross multiply
    136.47x = 188.19 × 123.51
  4. Step 4: Simplify right side
    136.47x = 23,243.35
  5. Step 5: Solve for x
    x = 23,243.35/136.47
  6. Step 6: Final answer
    x = 170.32

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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.