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Finding the Fourth Proportional to 59.97, 89.97 and 51.87

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Solution

The fourth proportional to 59.97, 89.97 and 51.87 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.97 : 89.97 = 51.87 : x
  2. Step 2: Convert to fraction form
    59.97/89.97 = 51.87/x
  3. Step 3: Cross multiply
    59.97x = 89.97 × 51.87
  4. Step 4: Simplify right side
    59.97x = 4,666.74
  5. Step 5: Solve for x
    x = 4,666.74/59.97
  6. Step 6: Final answer
    x = 77.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.