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Finding the Fourth Proportional to 75.56, 112.96 and 58.24

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Solution

The fourth proportional to 75.56, 112.96 and 58.24 is: 87.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.56 : 112.96 = 58.24 : x
  2. Step 2: Convert to fraction form
    75.56/112.96 = 58.24/x
  3. Step 3: Cross multiply
    75.56x = 112.96 × 58.24
  4. Step 4: Simplify right side
    75.56x = 6,578.79
  5. Step 5: Solve for x
    x = 6,578.79/75.56
  6. Step 6: Final answer
    x = 87.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.