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Finding the Fourth Proportional to 78.86, 108.66 and 54.25

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Solution

The fourth proportional to 78.86, 108.66 and 54.25 is: 74.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.86 : 108.66 = 54.25 : x
  2. Step 2: Convert to fraction form
    78.86/108.66 = 54.25/x
  3. Step 3: Cross multiply
    78.86x = 108.66 × 54.25
  4. Step 4: Simplify right side
    78.86x = 5,894.26
  5. Step 5: Solve for x
    x = 5,894.26/78.86
  6. Step 6: Final answer
    x = 74.74

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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.