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Finding the Fourth Proportional to 78.88, 108.84 and 46.13

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Solution

The fourth proportional to 78.88, 108.84 and 46.13 is: 63.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.88 : 108.84 = 46.13 : x
  2. Step 2: Convert to fraction form
    78.88/108.84 = 46.13/x
  3. Step 3: Cross multiply
    78.88x = 108.84 × 46.13
  4. Step 4: Simplify right side
    78.88x = 5,020.56
  5. Step 5: Solve for x
    x = 5,020.56/78.88
  6. Step 6: Final answer
    x = 63.65

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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.