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Finding the Fourth Proportional to 107, 159.76 and 91.79

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Solution

The fourth proportional to 107, 159.76 and 91.79 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 159.76 = 91.79 : x
  2. Step 2: Convert to fraction form
    107/159.76 = 91.79/x
  3. Step 3: Cross multiply
    107x = 159.76 × 91.79
  4. Step 4: Simplify right side
    107x = 14,664.37
  5. Step 5: Solve for x
    x = 14,664.37/107
  6. Step 6: Final answer
    x = 137.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.