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Finding the Fourth Proportional to 110.91, 153.15 and 78.21

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Solution

The fourth proportional to 110.91, 153.15 and 78.21 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.91 : 153.15 = 78.21 : x
  2. Step 2: Convert to fraction form
    110.91/153.15 = 78.21/x
  3. Step 3: Cross multiply
    110.91x = 153.15 × 78.21
  4. Step 4: Simplify right side
    110.91x = 11,977.86
  5. Step 5: Solve for x
    x = 11,977.86/110.91
  6. Step 6: Final answer
    x = 108.00

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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.