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Finding the Fourth Proportional to 58.14, 86.47 and 57.44

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Solution

The fourth proportional to 58.14, 86.47 and 57.44 is: 85.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.14 : 86.47 = 57.44 : x
  2. Step 2: Convert to fraction form
    58.14/86.47 = 57.44/x
  3. Step 3: Cross multiply
    58.14x = 86.47 × 57.44
  4. Step 4: Simplify right side
    58.14x = 4,966.91
  5. Step 5: Solve for x
    x = 4,966.91/58.14
  6. Step 6: Final answer
    x = 85.43

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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.