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Finding the Fourth Proportional to 39.75, 59.51 and 24.50

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Solution

The fourth proportional to 39.75, 59.51 and 24.50 is: 36.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 59.51 = 24.50 : x
  2. Step 2: Convert to fraction form
    39.75/59.51 = 24.50/x
  3. Step 3: Cross multiply
    39.75x = 59.51 × 24.50
  4. Step 4: Simplify right side
    39.75x = 1,457.57
  5. Step 5: Solve for x
    x = 1,457.57/39.75
  6. Step 6: Final answer
    x = 36.67

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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.