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Finding the Fourth Proportional to 59.76, 82.26 and 51.53

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Solution

The fourth proportional to 59.76, 82.26 and 51.53 is: 70.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 82.26 = 51.53 : x
  2. Step 2: Convert to fraction form
    59.76/82.26 = 51.53/x
  3. Step 3: Cross multiply
    59.76x = 82.26 × 51.53
  4. Step 4: Simplify right side
    59.76x = 4,238.45
  5. Step 5: Solve for x
    x = 4,238.45/59.76
  6. Step 6: Final answer
    x = 70.92

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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.