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Finding the Fourth Proportional to 118.68, 178.28 and 78.16

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Solution

The fourth proportional to 118.68, 178.28 and 78.16 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.68 : 178.28 = 78.16 : x
  2. Step 2: Convert to fraction form
    118.68/178.28 = 78.16/x
  3. Step 3: Cross multiply
    118.68x = 178.28 × 78.16
  4. Step 4: Simplify right side
    118.68x = 13,934.36
  5. Step 5: Solve for x
    x = 13,934.36/118.68
  6. Step 6: Final answer
    x = 117.41

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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.