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Finding the Fourth Proportional to 59.20, 81.76 and 45.24

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Solution

The fourth proportional to 59.20, 81.76 and 45.24 is: 62.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 81.76 = 45.24 : x
  2. Step 2: Convert to fraction form
    59.20/81.76 = 45.24/x
  3. Step 3: Cross multiply
    59.20x = 81.76 × 45.24
  4. Step 4: Simplify right side
    59.20x = 3,698.24
  5. Step 5: Solve for x
    x = 3,698.24/59.20
  6. Step 6: Final answer
    x = 62.47

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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.