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Finding the Fourth Proportional to 118.12, 175.88 and 117.76

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Solution

The fourth proportional to 118.12, 175.88 and 117.76 is: 175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.12 : 175.88 = 117.76 : x
  2. Step 2: Convert to fraction form
    118.12/175.88 = 117.76/x
  3. Step 3: Cross multiply
    118.12x = 175.88 × 117.76
  4. Step 4: Simplify right side
    118.12x = 20,711.63
  5. Step 5: Solve for x
    x = 20,711.63/118.12
  6. Step 6: Final answer
    x = 175.34

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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.