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Finding the Fourth Proportional to 75.90, 104.88 and 73.53

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Solution

The fourth proportional to 75.90, 104.88 and 73.53 is: 101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 104.88 = 73.53 : x
  2. Step 2: Convert to fraction form
    75.90/104.88 = 73.53/x
  3. Step 3: Cross multiply
    75.90x = 104.88 × 73.53
  4. Step 4: Simplify right side
    75.90x = 7,711.83
  5. Step 5: Solve for x
    x = 7,711.83/75.90
  6. Step 6: Final answer
    x = 101.61

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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.