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Finding the Fourth Proportional to 106, 159.14 and 91.65

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Solution

The fourth proportional to 106, 159.14 and 91.65 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159.14 = 91.65 : x
  2. Step 2: Convert to fraction form
    106/159.14 = 91.65/x
  3. Step 3: Cross multiply
    106x = 159.14 × 91.65
  4. Step 4: Simplify right side
    106x = 14,585.18
  5. Step 5: Solve for x
    x = 14,585.18/106
  6. Step 6: Final answer
    x = 137.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.