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Finding the Fourth Proportional to 78.33, 108.15 and 53.78

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Solution

The fourth proportional to 78.33, 108.15 and 53.78 is: 74.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.33 : 108.15 = 53.78 : x
  2. Step 2: Convert to fraction form
    78.33/108.15 = 53.78/x
  3. Step 3: Cross multiply
    78.33x = 108.15 × 53.78
  4. Step 4: Simplify right side
    78.33x = 5,816.31
  5. Step 5: Solve for x
    x = 5,816.31/78.33
  6. Step 6: Final answer
    x = 74.25

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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.