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Finding the Fourth Proportional to 78.54, 108.30 and 67.50

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Solution

The fourth proportional to 78.54, 108.30 and 67.50 is: 93.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.54 : 108.30 = 67.50 : x
  2. Step 2: Convert to fraction form
    78.54/108.30 = 67.50/x
  3. Step 3: Cross multiply
    78.54x = 108.30 × 67.50
  4. Step 4: Simplify right side
    78.54x = 7,310.25
  5. Step 5: Solve for x
    x = 7,310.25/78.54
  6. Step 6: Final answer
    x = 93.08

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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.