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Finding the Fourth Proportional to 75.36, 112.84 and 52.58

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Solution

The fourth proportional to 75.36, 112.84 and 52.58 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 112.84 = 52.58 : x
  2. Step 2: Convert to fraction form
    75.36/112.84 = 52.58/x
  3. Step 3: Cross multiply
    75.36x = 112.84 × 52.58
  4. Step 4: Simplify right side
    75.36x = 5,932.30
  5. Step 5: Solve for x
    x = 5,932.30/75.36
  6. Step 6: Final answer
    x = 78.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.