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Finding the Fourth Proportional to 118.17, 177.16 and 36.96

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Solution

The fourth proportional to 118.17, 177.16 and 36.96 is: 55.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.17 : 177.16 = 36.96 : x
  2. Step 2: Convert to fraction form
    118.17/177.16 = 36.96/x
  3. Step 3: Cross multiply
    118.17x = 177.16 × 36.96
  4. Step 4: Simplify right side
    118.17x = 6,547.83
  5. Step 5: Solve for x
    x = 6,547.83/118.17
  6. Step 6: Final answer
    x = 55.41

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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.