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Finding the Fourth Proportional to 111.60, 153.97 and 78.36

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Solution

The fourth proportional to 111.60, 153.97 and 78.36 is: 108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 153.97 = 78.36 : x
  2. Step 2: Convert to fraction form
    111.60/153.97 = 78.36/x
  3. Step 3: Cross multiply
    111.60x = 153.97 × 78.36
  4. Step 4: Simplify right side
    111.60x = 12,065.09
  5. Step 5: Solve for x
    x = 12,065.09/111.60
  6. Step 6: Final answer
    x = 108.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.