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Finding the Fourth Proportional to 118.10, 177.16 and 41.06

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Solution

The fourth proportional to 118.10, 177.16 and 41.06 is: 61.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.10 : 177.16 = 41.06 : x
  2. Step 2: Convert to fraction form
    118.10/177.16 = 41.06/x
  3. Step 3: Cross multiply
    118.10x = 177.16 × 41.06
  4. Step 4: Simplify right side
    118.10x = 7,273.98
  5. Step 5: Solve for x
    x = 7,273.98/118.10
  6. Step 6: Final answer
    x = 61.59

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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.