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Finding the Fourth Proportional to 59.03, 81.47 and 49.31

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Solution

The fourth proportional to 59.03, 81.47 and 49.31 is: 68.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.03 : 81.47 = 49.31 : x
  2. Step 2: Convert to fraction form
    59.03/81.47 = 49.31/x
  3. Step 3: Cross multiply
    59.03x = 81.47 × 49.31
  4. Step 4: Simplify right side
    59.03x = 4,017.29
  5. Step 5: Solve for x
    x = 4,017.29/59.03
  6. Step 6: Final answer
    x = 68.05

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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.