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Finding the Fourth Proportional to 58.86, 87.90 and 50.65

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Solution

The fourth proportional to 58.86, 87.90 and 50.65 is: 75.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.86 : 87.90 = 50.65 : x
  2. Step 2: Convert to fraction form
    58.86/87.90 = 50.65/x
  3. Step 3: Cross multiply
    58.86x = 87.90 × 50.65
  4. Step 4: Simplify right side
    58.86x = 4,452.14
  5. Step 5: Solve for x
    x = 4,452.14/58.86
  6. Step 6: Final answer
    x = 75.64

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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.