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Finding the Fourth Proportional to 137.40, 189.49 and 90.77

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Solution

The fourth proportional to 137.40, 189.49 and 90.77 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 189.49 = 90.77 : x
  2. Step 2: Convert to fraction form
    137.40/189.49 = 90.77/x
  3. Step 3: Cross multiply
    137.40x = 189.49 × 90.77
  4. Step 4: Simplify right side
    137.40x = 17,200.07
  5. Step 5: Solve for x
    x = 17,200.07/137.40
  6. Step 6: Final answer
    x = 125.19

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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.