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Finding the Fourth Proportional to 137.03, 189.02 and 90.41

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Solution

The fourth proportional to 137.03, 189.02 and 90.41 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.03 : 189.02 = 90.41 : x
  2. Step 2: Convert to fraction form
    137.03/189.02 = 90.41/x
  3. Step 3: Cross multiply
    137.03x = 189.02 × 90.41
  4. Step 4: Simplify right side
    137.03x = 17,088.58
  5. Step 5: Solve for x
    x = 17,088.58/137.03
  6. Step 6: Final answer
    x = 124.70

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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.