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Finding the Fourth Proportional to 59.82, 82.49 and 42.34

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Solution

The fourth proportional to 59.82, 82.49 and 42.34 is: 58.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 82.49 = 42.34 : x
  2. Step 2: Convert to fraction form
    59.82/82.49 = 42.34/x
  3. Step 3: Cross multiply
    59.82x = 82.49 × 42.34
  4. Step 4: Simplify right side
    59.82x = 3,492.63
  5. Step 5: Solve for x
    x = 3,492.63/59.82
  6. Step 6: Final answer
    x = 58.39

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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.