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Finding the Fourth Proportional to 118.47, 177.54 and 67.12

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Solution

The fourth proportional to 118.47, 177.54 and 67.12 is: 100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.47 : 177.54 = 67.12 : x
  2. Step 2: Convert to fraction form
    118.47/177.54 = 67.12/x
  3. Step 3: Cross multiply
    118.47x = 177.54 × 67.12
  4. Step 4: Simplify right side
    118.47x = 11,916.48
  5. Step 5: Solve for x
    x = 11,916.48/118.47
  6. Step 6: Final answer
    x = 100.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.