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Finding the Fourth Proportional to 59.52, 82.08 and 51.24

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Solution

The fourth proportional to 59.52, 82.08 and 51.24 is: 70.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 82.08 = 51.24 : x
  2. Step 2: Convert to fraction form
    59.52/82.08 = 51.24/x
  3. Step 3: Cross multiply
    59.52x = 82.08 × 51.24
  4. Step 4: Simplify right side
    59.52x = 4,205.78
  5. Step 5: Solve for x
    x = 4,205.78/59.52
  6. Step 6: Final answer
    x = 70.66

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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.