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Finding the Fourth Proportional to 59.78, 89.43 and 52.49

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Solution

The fourth proportional to 59.78, 89.43 and 52.49 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.78 : 89.43 = 52.49 : x
  2. Step 2: Convert to fraction form
    59.78/89.43 = 52.49/x
  3. Step 3: Cross multiply
    59.78x = 89.43 × 52.49
  4. Step 4: Simplify right side
    59.78x = 4,693.73
  5. Step 5: Solve for x
    x = 4,693.73/59.78
  6. Step 6: Final answer
    x = 78.52

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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.