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Finding the Fourth Proportional to 77.19, 106.56 and 59.67

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Solution

The fourth proportional to 77.19, 106.56 and 59.67 is: 82.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 106.56 = 59.67 : x
  2. Step 2: Convert to fraction form
    77.19/106.56 = 59.67/x
  3. Step 3: Cross multiply
    77.19x = 106.56 × 59.67
  4. Step 4: Simplify right side
    77.19x = 6,358.26
  5. Step 5: Solve for x
    x = 6,358.26/77.19
  6. Step 6: Final answer
    x = 82.37

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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.