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Finding the Fourth Proportional to 49.71, 74.57 and 13.64

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Solution

The fourth proportional to 49.71, 74.57 and 13.64 is: 20.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.71 : 74.57 = 13.64 : x
  2. Step 2: Convert to fraction form
    49.71/74.57 = 13.64/x
  3. Step 3: Cross multiply
    49.71x = 74.57 × 13.64
  4. Step 4: Simplify right side
    49.71x = 1,017.25
  5. Step 5: Solve for x
    x = 1,017.25/49.71
  6. Step 6: Final answer
    x = 20.46

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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.