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Finding the Fourth Proportional to 60.58, 90.76 and 50.42

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Solution

The fourth proportional to 60.58, 90.76 and 50.42 is: 75.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.58 : 90.76 = 50.42 : x
  2. Step 2: Convert to fraction form
    60.58/90.76 = 50.42/x
  3. Step 3: Cross multiply
    60.58x = 90.76 × 50.42
  4. Step 4: Simplify right side
    60.58x = 4,576.12
  5. Step 5: Solve for x
    x = 4,576.12/60.58
  6. Step 6: Final answer
    x = 75.54

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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.