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Finding the Fourth Proportional to 137.91, 189.81 and 101.01

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Solution

The fourth proportional to 137.91, 189.81 and 101.01 is: 139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.91 : 189.81 = 101.01 : x
  2. Step 2: Convert to fraction form
    137.91/189.81 = 101.01/x
  3. Step 3: Cross multiply
    137.91x = 189.81 × 101.01
  4. Step 4: Simplify right side
    137.91x = 19,172.71
  5. Step 5: Solve for x
    x = 19,172.71/137.91
  6. Step 6: Final answer
    x = 139.02

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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.