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Finding the Fourth Proportional to 118.16, 176.99 and 109.86

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Solution

The fourth proportional to 118.16, 176.99 and 109.86 is: 164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 176.99 = 109.86 : x
  2. Step 2: Convert to fraction form
    118.16/176.99 = 109.86/x
  3. Step 3: Cross multiply
    118.16x = 176.99 × 109.86
  4. Step 4: Simplify right side
    118.16x = 19,442.91
  5. Step 5: Solve for x
    x = 19,442.91/118.16
  6. Step 6: Final answer
    x = 164.55

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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.