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Finding the Fourth Proportional to 77.84, 116.08 and 77.16

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Solution

The fourth proportional to 77.84, 116.08 and 77.16 is: 115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 116.08 = 77.16 : x
  2. Step 2: Convert to fraction form
    77.84/116.08 = 77.16/x
  3. Step 3: Cross multiply
    77.84x = 116.08 × 77.16
  4. Step 4: Simplify right side
    77.84x = 8,956.73
  5. Step 5: Solve for x
    x = 8,956.73/77.84
  6. Step 6: Final answer
    x = 115.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.