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Finding the Fourth Proportional to 43.58, 60.00 and 39.71

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Solution

The fourth proportional to 43.58, 60.00 and 39.71 is: 54.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.58 : 60.00 = 39.71 : x
  2. Step 2: Convert to fraction form
    43.58/60.00 = 39.71/x
  3. Step 3: Cross multiply
    43.58x = 60.00 × 39.71
  4. Step 4: Simplify right side
    43.58x = 2,382.60
  5. Step 5: Solve for x
    x = 2,382.60/43.58
  6. Step 6: Final answer
    x = 54.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.