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Finding the Fourth Proportional to 58.35, 87.13 and 50.76

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Solution

The fourth proportional to 58.35, 87.13 and 50.76 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.35 : 87.13 = 50.76 : x
  2. Step 2: Convert to fraction form
    58.35/87.13 = 50.76/x
  3. Step 3: Cross multiply
    58.35x = 87.13 × 50.76
  4. Step 4: Simplify right side
    58.35x = 4,422.72
  5. Step 5: Solve for x
    x = 4,422.72/58.35
  6. Step 6: Final answer
    x = 75.80

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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.