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Finding the Fourth Proportional to 137.42, 189.50 and 90.74

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Solution

The fourth proportional to 137.42, 189.50 and 90.74 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.42 : 189.50 = 90.74 : x
  2. Step 2: Convert to fraction form
    137.42/189.50 = 90.74/x
  3. Step 3: Cross multiply
    137.42x = 189.50 × 90.74
  4. Step 4: Simplify right side
    137.42x = 17,195.23
  5. Step 5: Solve for x
    x = 17,195.23/137.42
  6. Step 6: Final answer
    x = 125.13

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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.