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Finding the Fourth Proportional to 58.91, 81.24 and 41.40

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Solution

The fourth proportional to 58.91, 81.24 and 41.40 is: 57.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.91 : 81.24 = 41.40 : x
  2. Step 2: Convert to fraction form
    58.91/81.24 = 41.40/x
  3. Step 3: Cross multiply
    58.91x = 81.24 × 41.40
  4. Step 4: Simplify right side
    58.91x = 3,363.34
  5. Step 5: Solve for x
    x = 3,363.34/58.91
  6. Step 6: Final answer
    x = 57.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.