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Finding the Fourth Proportional to 59.83, 82.32 and 51.94

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Solution

The fourth proportional to 59.83, 82.32 and 51.94 is: 71.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.83 : 82.32 = 51.94 : x
  2. Step 2: Convert to fraction form
    59.83/82.32 = 51.94/x
  3. Step 3: Cross multiply
    59.83x = 82.32 × 51.94
  4. Step 4: Simplify right side
    59.83x = 4,275.70
  5. Step 5: Solve for x
    x = 4,275.70/59.83
  6. Step 6: Final answer
    x = 71.46

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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.