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Finding the Fourth Proportional to 77.53, 106.76 and 67.15

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Solution

The fourth proportional to 77.53, 106.76 and 67.15 is: 92.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.53 : 106.76 = 67.15 : x
  2. Step 2: Convert to fraction form
    77.53/106.76 = 67.15/x
  3. Step 3: Cross multiply
    77.53x = 106.76 × 67.15
  4. Step 4: Simplify right side
    77.53x = 7,168.06
  5. Step 5: Solve for x
    x = 7,168.06/77.53
  6. Step 6: Final answer
    x = 92.46

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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.