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Finding the Fourth Proportional to 137.51, 189.74 and 100.23

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Solution

The fourth proportional to 137.51, 189.74 and 100.23 is: 138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 189.74 = 100.23 : x
  2. Step 2: Convert to fraction form
    137.51/189.74 = 100.23/x
  3. Step 3: Cross multiply
    137.51x = 189.74 × 100.23
  4. Step 4: Simplify right side
    137.51x = 19,017.51
  5. Step 5: Solve for x
    x = 19,017.51/137.51
  6. Step 6: Final answer
    x = 138.30

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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.