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Finding the Fourth Proportional to 117.90, 162.79 and 108.65

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Solution

The fourth proportional to 117.90, 162.79 and 108.65 is: 150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 162.79 = 108.65 : x
  2. Step 2: Convert to fraction form
    117.90/162.79 = 108.65/x
  3. Step 3: Cross multiply
    117.90x = 162.79 × 108.65
  4. Step 4: Simplify right side
    117.90x = 17,687.27
  5. Step 5: Solve for x
    x = 17,687.27/117.90
  6. Step 6: Final answer
    x = 150.02

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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.