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Finding the Fourth Proportional to 58.24, 86.99 and 50.14

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Solution

The fourth proportional to 58.24, 86.99 and 50.14 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.24 : 86.99 = 50.14 : x
  2. Step 2: Convert to fraction form
    58.24/86.99 = 50.14/x
  3. Step 3: Cross multiply
    58.24x = 86.99 × 50.14
  4. Step 4: Simplify right side
    58.24x = 4,361.68
  5. Step 5: Solve for x
    x = 4,361.68/58.24
  6. Step 6: Final answer
    x = 74.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.