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Finding the Fourth Proportional to 75.98, 104.90 and 51.45

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Solution

The fourth proportional to 75.98, 104.90 and 51.45 is: 71.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 104.90 = 51.45 : x
  2. Step 2: Convert to fraction form
    75.98/104.90 = 51.45/x
  3. Step 3: Cross multiply
    75.98x = 104.90 × 51.45
  4. Step 4: Simplify right side
    75.98x = 5,397.24
  5. Step 5: Solve for x
    x = 5,397.24/75.98
  6. Step 6: Final answer
    x = 71.04

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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.