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Finding the Fourth Proportional to 50.88, 76.59 and 39.52

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Solution

The fourth proportional to 50.88, 76.59 and 39.52 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 76.59 = 39.52 : x
  2. Step 2: Convert to fraction form
    50.88/76.59 = 39.52/x
  3. Step 3: Cross multiply
    50.88x = 76.59 × 39.52
  4. Step 4: Simplify right side
    50.88x = 3,026.84
  5. Step 5: Solve for x
    x = 3,026.84/50.88
  6. Step 6: Final answer
    x = 59.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.