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Finding the Fourth Proportional to 59.84, 82.56 and 42.38

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Solution

The fourth proportional to 59.84, 82.56 and 42.38 is: 58.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.84 : 82.56 = 42.38 : x
  2. Step 2: Convert to fraction form
    59.84/82.56 = 42.38/x
  3. Step 3: Cross multiply
    59.84x = 82.56 × 42.38
  4. Step 4: Simplify right side
    59.84x = 3,498.89
  5. Step 5: Solve for x
    x = 3,498.89/59.84
  6. Step 6: Final answer
    x = 58.47

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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.