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Finding the Fourth Proportional to 58.87, 88.21 and 50.77

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Solution

The fourth proportional to 58.87, 88.21 and 50.77 is: 76.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.87 : 88.21 = 50.77 : x
  2. Step 2: Convert to fraction form
    58.87/88.21 = 50.77/x
  3. Step 3: Cross multiply
    58.87x = 88.21 × 50.77
  4. Step 4: Simplify right side
    58.87x = 4,478.42
  5. Step 5: Solve for x
    x = 4,478.42/58.87
  6. Step 6: Final answer
    x = 76.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.