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Finding the Fourth Proportional to 118.63, 177.90 and 41.57

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Solution

The fourth proportional to 118.63, 177.90 and 41.57 is: 62.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.63 : 177.90 = 41.57 : x
  2. Step 2: Convert to fraction form
    118.63/177.90 = 41.57/x
  3. Step 3: Cross multiply
    118.63x = 177.90 × 41.57
  4. Step 4: Simplify right side
    118.63x = 7,395.30
  5. Step 5: Solve for x
    x = 7,395.30/118.63
  6. Step 6: Final answer
    x = 62.34

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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.