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Finding the Fourth Proportional to 75.60, 104.14 and 59.20

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Solution

The fourth proportional to 75.60, 104.14 and 59.20 is: 81.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.60 : 104.14 = 59.20 : x
  2. Step 2: Convert to fraction form
    75.60/104.14 = 59.20/x
  3. Step 3: Cross multiply
    75.60x = 104.14 × 59.20
  4. Step 4: Simplify right side
    75.60x = 6,165.09
  5. Step 5: Solve for x
    x = 6,165.09/75.60
  6. Step 6: Final answer
    x = 81.55

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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.