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Finding the Fourth Proportional to 137.50, 189.76 and 91.58

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Solution

The fourth proportional to 137.50, 189.76 and 91.58 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 189.76 = 91.58 : x
  2. Step 2: Convert to fraction form
    137.50/189.76 = 91.58/x
  3. Step 3: Cross multiply
    137.50x = 189.76 × 91.58
  4. Step 4: Simplify right side
    137.50x = 17,378.22
  5. Step 5: Solve for x
    x = 17,378.22/137.50
  6. Step 6: Final answer
    x = 126.39

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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.