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Finding the Fourth Proportional to 76.98, 106.20 and 52.38

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Solution

The fourth proportional to 76.98, 106.20 and 52.38 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.20 = 52.38 : x
  2. Step 2: Convert to fraction form
    76.98/106.20 = 52.38/x
  3. Step 3: Cross multiply
    76.98x = 106.20 × 52.38
  4. Step 4: Simplify right side
    76.98x = 5,562.76
  5. Step 5: Solve for x
    x = 5,562.76/76.98
  6. Step 6: Final answer
    x = 72.26

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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.