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Finding the Fourth Proportional to 75.24, 112.91 and 52.38

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Solution

The fourth proportional to 75.24, 112.91 and 52.38 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 112.91 = 52.38 : x
  2. Step 2: Convert to fraction form
    75.24/112.91 = 52.38/x
  3. Step 3: Cross multiply
    75.24x = 112.91 × 52.38
  4. Step 4: Simplify right side
    75.24x = 5,913.66
  5. Step 5: Solve for x
    x = 5,913.66/75.24
  6. Step 6: Final answer
    x = 78.59

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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.