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Finding the Fourth Proportional to 60.24, 82.86 and 59.28

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Solution

The fourth proportional to 60.24, 82.86 and 59.28 is: 81.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.24 : 82.86 = 59.28 : x
  2. Step 2: Convert to fraction form
    60.24/82.86 = 59.28/x
  3. Step 3: Cross multiply
    60.24x = 82.86 × 59.28
  4. Step 4: Simplify right side
    60.24x = 4,911.94
  5. Step 5: Solve for x
    x = 4,911.94/60.24
  6. Step 6: Final answer
    x = 81.54

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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.