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Finding the Fourth Proportional to 75.50, 104.16 and 53.70

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Solution

The fourth proportional to 75.50, 104.16 and 53.70 is: 74.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 104.16 = 53.70 : x
  2. Step 2: Convert to fraction form
    75.50/104.16 = 53.70/x
  3. Step 3: Cross multiply
    75.50x = 104.16 × 53.70
  4. Step 4: Simplify right side
    75.50x = 5,592.87
  5. Step 5: Solve for x
    x = 5,592.87/75.50
  6. Step 6: Final answer
    x = 74.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.