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Finding the Fourth Proportional to 59.66, 82.22 and 51.86

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Solution

The fourth proportional to 59.66, 82.22 and 51.86 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.66 : 82.22 = 51.86 : x
  2. Step 2: Convert to fraction form
    59.66/82.22 = 51.86/x
  3. Step 3: Cross multiply
    59.66x = 82.22 × 51.86
  4. Step 4: Simplify right side
    59.66x = 4,263.93
  5. Step 5: Solve for x
    x = 4,263.93/59.66
  6. Step 6: Final answer
    x = 71.47

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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.