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Finding the Fourth Proportional to 59.93, 89.51 and 51.83

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Solution

The fourth proportional to 59.93, 89.51 and 51.83 is: 77.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.93 : 89.51 = 51.83 : x
  2. Step 2: Convert to fraction form
    59.93/89.51 = 51.83/x
  3. Step 3: Cross multiply
    59.93x = 89.51 × 51.83
  4. Step 4: Simplify right side
    59.93x = 4,639.22
  5. Step 5: Solve for x
    x = 4,639.22/59.93
  6. Step 6: Final answer
    x = 77.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.