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Finding the Fourth Proportional to 58.84, 87.86 and 50.14

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Solution

The fourth proportional to 58.84, 87.86 and 50.14 is: 74.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.84 : 87.86 = 50.14 : x
  2. Step 2: Convert to fraction form
    58.84/87.86 = 50.14/x
  3. Step 3: Cross multiply
    58.84x = 87.86 × 50.14
  4. Step 4: Simplify right side
    58.84x = 4,405.30
  5. Step 5: Solve for x
    x = 4,405.30/58.84
  6. Step 6: Final answer
    x = 74.87

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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.