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Finding the Fourth Proportional to 58.84, 81.23 and 38.14

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Solution

The fourth proportional to 58.84, 81.23 and 38.14 is: 52.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.84 : 81.23 = 38.14 : x
  2. Step 2: Convert to fraction form
    58.84/81.23 = 38.14/x
  3. Step 3: Cross multiply
    58.84x = 81.23 × 38.14
  4. Step 4: Simplify right side
    58.84x = 3,097.92
  5. Step 5: Solve for x
    x = 3,097.92/58.84
  6. Step 6: Final answer
    x = 52.65

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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.