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Finding the Fourth Proportional to 118.05, 175.58 and 117.78

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Solution

The fourth proportional to 118.05, 175.58 and 117.78 is: 175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 175.58 = 117.78 : x
  2. Step 2: Convert to fraction form
    118.05/175.58 = 117.78/x
  3. Step 3: Cross multiply
    118.05x = 175.58 × 117.78
  4. Step 4: Simplify right side
    118.05x = 20,679.22
  5. Step 5: Solve for x
    x = 20,679.22/118.05
  6. Step 6: Final answer
    x = 175.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.