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Finding the Fourth Proportional to 58.72, 81 and 40.24

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Solution

The fourth proportional to 58.72, 81 and 40.24 is: 55.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.72 : 81 = 40.24 : x
  2. Step 2: Convert to fraction form
    58.72/81 = 40.24/x
  3. Step 3: Cross multiply
    58.72x = 81 × 40.24
  4. Step 4: Simplify right side
    58.72x = 3,259.44
  5. Step 5: Solve for x
    x = 3,259.44/58.72
  6. Step 6: Final answer
    x = 55.51

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Why These Related Problems?

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