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Finding the Fourth Proportional to 137.45, 189.69 and 90.22

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Solution

The fourth proportional to 137.45, 189.69 and 90.22 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 189.69 = 90.22 : x
  2. Step 2: Convert to fraction form
    137.45/189.69 = 90.22/x
  3. Step 3: Cross multiply
    137.45x = 189.69 × 90.22
  4. Step 4: Simplify right side
    137.45x = 17,113.04
  5. Step 5: Solve for x
    x = 17,113.04/137.45
  6. Step 6: Final answer
    x = 124.50

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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.