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Finding the Fourth Proportional to 59.69, 89.36 and 49.50

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Solution

The fourth proportional to 59.69, 89.36 and 49.50 is: 74.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.69 : 89.36 = 49.50 : x
  2. Step 2: Convert to fraction form
    59.69/89.36 = 49.50/x
  3. Step 3: Cross multiply
    59.69x = 89.36 × 49.50
  4. Step 4: Simplify right side
    59.69x = 4,423.44
  5. Step 5: Solve for x
    x = 4,423.44/59.69
  6. Step 6: Final answer
    x = 74.10

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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.