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Finding the Fourth Proportional to 77.46, 116.04 and 65.88

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Solution

The fourth proportional to 77.46, 116.04 and 65.88 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.46 : 116.04 = 65.88 : x
  2. Step 2: Convert to fraction form
    77.46/116.04 = 65.88/x
  3. Step 3: Cross multiply
    77.46x = 116.04 × 65.88
  4. Step 4: Simplify right side
    77.46x = 7,644.72
  5. Step 5: Solve for x
    x = 7,644.72/77.46
  6. Step 6: Final answer
    x = 98.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.