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Finding the Fourth Proportional to 76.08, 104.96 and 51.52

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Solution

The fourth proportional to 76.08, 104.96 and 51.52 is: 71.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.08 : 104.96 = 51.52 : x
  2. Step 2: Convert to fraction form
    76.08/104.96 = 51.52/x
  3. Step 3: Cross multiply
    76.08x = 104.96 × 51.52
  4. Step 4: Simplify right side
    76.08x = 5,407.28
  5. Step 5: Solve for x
    x = 5,407.28/76.08
  6. Step 6: Final answer
    x = 71.08

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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.