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Finding the Fourth Proportional to 53.24, 73.76 and 51.98

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Solution

The fourth proportional to 53.24, 73.76 and 51.98 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.24 : 73.76 = 51.98 : x
  2. Step 2: Convert to fraction form
    53.24/73.76 = 51.98/x
  3. Step 3: Cross multiply
    53.24x = 73.76 × 51.98
  4. Step 4: Simplify right side
    53.24x = 3,834.36
  5. Step 5: Solve for x
    x = 3,834.36/53.24
  6. Step 6: Final answer
    x = 72.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.