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Finding the Fourth Proportional to 58.84, 87.77 and 52.09

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Solution

The fourth proportional to 58.84, 87.77 and 52.09 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.84 : 87.77 = 52.09 : x
  2. Step 2: Convert to fraction form
    58.84/87.77 = 52.09/x
  3. Step 3: Cross multiply
    58.84x = 87.77 × 52.09
  4. Step 4: Simplify right side
    58.84x = 4,571.85
  5. Step 5: Solve for x
    x = 4,571.85/58.84
  6. Step 6: Final answer
    x = 77.70

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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.