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Finding the Fourth Proportional to 139.16, 191.90 and 89.96

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Solution

The fourth proportional to 139.16, 191.90 and 89.96 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.16 : 191.90 = 89.96 : x
  2. Step 2: Convert to fraction form
    139.16/191.90 = 89.96/x
  3. Step 3: Cross multiply
    139.16x = 191.90 × 89.96
  4. Step 4: Simplify right side
    139.16x = 17,263.32
  5. Step 5: Solve for x
    x = 17,263.32/139.16
  6. Step 6: Final answer
    x = 124.05

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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.