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Finding the Fourth Proportional to 52.84, 72.96 and 41.98

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Solution

The fourth proportional to 52.84, 72.96 and 41.98 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.84 : 72.96 = 41.98 : x
  2. Step 2: Convert to fraction form
    52.84/72.96 = 41.98/x
  3. Step 3: Cross multiply
    52.84x = 72.96 × 41.98
  4. Step 4: Simplify right side
    52.84x = 3,062.86
  5. Step 5: Solve for x
    x = 3,062.86/52.84
  6. Step 6: Final answer
    x = 57.96

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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.