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Finding the Fourth Proportional to 78.08, 107.76 and 51.84

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Solution

The fourth proportional to 78.08, 107.76 and 51.84 is: 71.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.08 : 107.76 = 51.84 : x
  2. Step 2: Convert to fraction form
    78.08/107.76 = 51.84/x
  3. Step 3: Cross multiply
    78.08x = 107.76 × 51.84
  4. Step 4: Simplify right side
    78.08x = 5,586.28
  5. Step 5: Solve for x
    x = 5,586.28/78.08
  6. Step 6: Final answer
    x = 71.55

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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.