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Finding the Fourth Proportional to 77.17, 106.35 and 59.65

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Solution

The fourth proportional to 77.17, 106.35 and 59.65 is: 82.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.17 : 106.35 = 59.65 : x
  2. Step 2: Convert to fraction form
    77.17/106.35 = 59.65/x
  3. Step 3: Cross multiply
    77.17x = 106.35 × 59.65
  4. Step 4: Simplify right side
    77.17x = 6,343.78
  5. Step 5: Solve for x
    x = 6,343.78/77.17
  6. Step 6: Final answer
    x = 82.21

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