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Finding the Fourth Proportional to 118.14, 177.16 and 53.09

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Solution

The fourth proportional to 118.14, 177.16 and 53.09 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.14 : 177.16 = 53.09 : x
  2. Step 2: Convert to fraction form
    118.14/177.16 = 53.09/x
  3. Step 3: Cross multiply
    118.14x = 177.16 × 53.09
  4. Step 4: Simplify right side
    118.14x = 9,405.73
  5. Step 5: Solve for x
    x = 9,405.73/118.14
  6. Step 6: Final answer
    x = 79.62

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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.