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Finding the Fourth Proportional to 39.80, 59.75 and 19.53

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Solution

The fourth proportional to 39.80, 59.75 and 19.53 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 59.75 = 19.53 : x
  2. Step 2: Convert to fraction form
    39.80/59.75 = 19.53/x
  3. Step 3: Cross multiply
    39.80x = 59.75 × 19.53
  4. Step 4: Simplify right side
    39.80x = 1,166.92
  5. Step 5: Solve for x
    x = 1,166.92/39.80
  6. Step 6: Final answer
    x = 29.32

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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.