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Finding the Fourth Proportional to 137.01, 189.03 and 95.70

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Solution

The fourth proportional to 137.01, 189.03 and 95.70 is: 132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 189.03 = 95.70 : x
  2. Step 2: Convert to fraction form
    137.01/189.03 = 95.70/x
  3. Step 3: Cross multiply
    137.01x = 189.03 × 95.70
  4. Step 4: Simplify right side
    137.01x = 18,090.17
  5. Step 5: Solve for x
    x = 18,090.17/137.01
  6. Step 6: Final answer
    x = 132.04

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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.