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Finding the Fourth Proportional to 77.52, 116.76 and 69.06

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Solution

The fourth proportional to 77.52, 116.76 and 69.06 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.52 : 116.76 = 69.06 : x
  2. Step 2: Convert to fraction form
    77.52/116.76 = 69.06/x
  3. Step 3: Cross multiply
    77.52x = 116.76 × 69.06
  4. Step 4: Simplify right side
    77.52x = 8,063.45
  5. Step 5: Solve for x
    x = 8,063.45/77.52
  6. Step 6: Final answer
    x = 104.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.