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Finding the Fourth Proportional to 59.79, 89.68 and 49.54

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Solution

The fourth proportional to 59.79, 89.68 and 49.54 is: 74.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.79 : 89.68 = 49.54 : x
  2. Step 2: Convert to fraction form
    59.79/89.68 = 49.54/x
  3. Step 3: Cross multiply
    59.79x = 89.68 × 49.54
  4. Step 4: Simplify right side
    59.79x = 4,442.55
  5. Step 5: Solve for x
    x = 4,442.55/59.79
  6. Step 6: Final answer
    x = 74.30

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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.