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Finding the Fourth Proportional to 138.46, 191.09 and 89.32

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Solution

The fourth proportional to 138.46, 191.09 and 89.32 is: 123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.46 : 191.09 = 89.32 : x
  2. Step 2: Convert to fraction form
    138.46/191.09 = 89.32/x
  3. Step 3: Cross multiply
    138.46x = 191.09 × 89.32
  4. Step 4: Simplify right side
    138.46x = 17,068.16
  5. Step 5: Solve for x
    x = 17,068.16/138.46
  6. Step 6: Final answer
    x = 123.27

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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.