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Finding the Fourth Proportional to 118.80, 177.84 and 78.10

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Solution

The fourth proportional to 118.80, 177.84 and 78.10 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.80 : 177.84 = 78.10 : x
  2. Step 2: Convert to fraction form
    118.80/177.84 = 78.10/x
  3. Step 3: Cross multiply
    118.80x = 177.84 × 78.10
  4. Step 4: Simplify right side
    118.80x = 13,889.30
  5. Step 5: Solve for x
    x = 13,889.30/118.80
  6. Step 6: Final answer
    x = 116.91

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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.