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Finding the Fourth Proportional to 59.99, 89.97 and 52.46

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Solution

The fourth proportional to 59.99, 89.97 and 52.46 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.99 : 89.97 = 52.46 : x
  2. Step 2: Convert to fraction form
    59.99/89.97 = 52.46/x
  3. Step 3: Cross multiply
    59.99x = 89.97 × 52.46
  4. Step 4: Simplify right side
    59.99x = 4,720.05
  5. Step 5: Solve for x
    x = 4,720.05/59.99
  6. Step 6: Final answer
    x = 78.69

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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.