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Finding the Fourth Proportional to 76.25, 114.42 and 58.19

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Solution

The fourth proportional to 76.25, 114.42 and 58.19 is: 87.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 114.42 = 58.19 : x
  2. Step 2: Convert to fraction form
    76.25/114.42 = 58.19/x
  3. Step 3: Cross multiply
    76.25x = 114.42 × 58.19
  4. Step 4: Simplify right side
    76.25x = 6,658.10
  5. Step 5: Solve for x
    x = 6,658.10/76.25
  6. Step 6: Final answer
    x = 87.32

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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.