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Finding the Fourth Proportional to 59.95, 82.83 and 55.36

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Solution

The fourth proportional to 59.95, 82.83 and 55.36 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.95 : 82.83 = 55.36 : x
  2. Step 2: Convert to fraction form
    59.95/82.83 = 55.36/x
  3. Step 3: Cross multiply
    59.95x = 82.83 × 55.36
  4. Step 4: Simplify right side
    59.95x = 4,585.47
  5. Step 5: Solve for x
    x = 4,585.47/59.95
  6. Step 6: Final answer
    x = 76.49

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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.