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Finding the Fourth Proportional to 59.29, 81.78 and 52.38

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Solution

The fourth proportional to 59.29, 81.78 and 52.38 is: 72.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.29 : 81.78 = 52.38 : x
  2. Step 2: Convert to fraction form
    59.29/81.78 = 52.38/x
  3. Step 3: Cross multiply
    59.29x = 81.78 × 52.38
  4. Step 4: Simplify right side
    59.29x = 4,283.64
  5. Step 5: Solve for x
    x = 4,283.64/59.29
  6. Step 6: Final answer
    x = 72.25

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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.