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Finding the Fourth Proportional to 137.52, 189.57 and 102.54

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Solution

The fourth proportional to 137.52, 189.57 and 102.54 is: 141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 189.57 = 102.54 : x
  2. Step 2: Convert to fraction form
    137.52/189.57 = 102.54/x
  3. Step 3: Cross multiply
    137.52x = 189.57 × 102.54
  4. Step 4: Simplify right side
    137.52x = 19,438.51
  5. Step 5: Solve for x
    x = 19,438.51/137.52
  6. Step 6: Final answer
    x = 141.35

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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.