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Finding the Fourth Proportional to 77.84, 116.48 and 45.60

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Solution

The fourth proportional to 77.84, 116.48 and 45.60 is: 68.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 116.48 = 45.60 : x
  2. Step 2: Convert to fraction form
    77.84/116.48 = 45.60/x
  3. Step 3: Cross multiply
    77.84x = 116.48 × 45.60
  4. Step 4: Simplify right side
    77.84x = 5,311.49
  5. Step 5: Solve for x
    x = 5,311.49/77.84
  6. Step 6: Final answer
    x = 68.24

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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.