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Finding the Fourth Proportional to 118.59, 177.90 and 53.56

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Solution

The fourth proportional to 118.59, 177.90 and 53.56 is: 80.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.59 : 177.90 = 53.56 : x
  2. Step 2: Convert to fraction form
    118.59/177.90 = 53.56/x
  3. Step 3: Cross multiply
    118.59x = 177.90 × 53.56
  4. Step 4: Simplify right side
    118.59x = 9,528.32
  5. Step 5: Solve for x
    x = 9,528.32/118.59
  6. Step 6: Final answer
    x = 80.35

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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.