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Finding the Fourth Proportional to 77.35, 106.63 and 63.51

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Solution

The fourth proportional to 77.35, 106.63 and 63.51 is: 87.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 106.63 = 63.51 : x
  2. Step 2: Convert to fraction form
    77.35/106.63 = 63.51/x
  3. Step 3: Cross multiply
    77.35x = 106.63 × 63.51
  4. Step 4: Simplify right side
    77.35x = 6,771.91
  5. Step 5: Solve for x
    x = 6,771.91/77.35
  6. Step 6: Final answer
    x = 87.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.