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Finding the Fourth Proportional to 58.60, 80.90 and 50.77

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Solution

The fourth proportional to 58.60, 80.90 and 50.77 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.60 : 80.90 = 50.77 : x
  2. Step 2: Convert to fraction form
    58.60/80.90 = 50.77/x
  3. Step 3: Cross multiply
    58.60x = 80.90 × 50.77
  4. Step 4: Simplify right side
    58.60x = 4,107.22
  5. Step 5: Solve for x
    x = 4,107.22/58.60
  6. Step 6: Final answer
    x = 70.09

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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.