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Finding the Fourth Proportional to 77.70, 116.49 and 62.43

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Solution

The fourth proportional to 77.70, 116.49 and 62.43 is: 93.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.70 : 116.49 = 62.43 : x
  2. Step 2: Convert to fraction form
    77.70/116.49 = 62.43/x
  3. Step 3: Cross multiply
    77.70x = 116.49 × 62.43
  4. Step 4: Simplify right side
    77.70x = 7,272.47
  5. Step 5: Solve for x
    x = 7,272.47/77.70
  6. Step 6: Final answer
    x = 93.60

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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.