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Finding the Fourth Proportional to 118.66, 176.58 and 114.05

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Solution

The fourth proportional to 118.66, 176.58 and 114.05 is: 169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.66 : 176.58 = 114.05 : x
  2. Step 2: Convert to fraction form
    118.66/176.58 = 114.05/x
  3. Step 3: Cross multiply
    118.66x = 176.58 × 114.05
  4. Step 4: Simplify right side
    118.66x = 20,139.07
  5. Step 5: Solve for x
    x = 20,139.07/118.66
  6. Step 6: Final answer
    x = 169.72

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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.