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Finding the Fourth Proportional to 75.90, 104.70 and 54.03

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Solution

The fourth proportional to 75.90, 104.70 and 54.03 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 104.70 = 54.03 : x
  2. Step 2: Convert to fraction form
    75.90/104.70 = 54.03/x
  3. Step 3: Cross multiply
    75.90x = 104.70 × 54.03
  4. Step 4: Simplify right side
    75.90x = 5,656.94
  5. Step 5: Solve for x
    x = 5,656.94/75.90
  6. Step 6: Final answer
    x = 74.53

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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.