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Finding the Fourth Proportional to 118.40, 177.78 and 75.34

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Solution

The fourth proportional to 118.40, 177.78 and 75.34 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 177.78 = 75.34 : x
  2. Step 2: Convert to fraction form
    118.40/177.78 = 75.34/x
  3. Step 3: Cross multiply
    118.40x = 177.78 × 75.34
  4. Step 4: Simplify right side
    118.40x = 13,393.95
  5. Step 5: Solve for x
    x = 13,393.95/118.40
  6. Step 6: Final answer
    x = 113.12

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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.