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Finding the Fourth Proportional to 73.09, 100.78 and 57.50

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Solution

The fourth proportional to 73.09, 100.78 and 57.50 is: 79.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.09 : 100.78 = 57.50 : x
  2. Step 2: Convert to fraction form
    73.09/100.78 = 57.50/x
  3. Step 3: Cross multiply
    73.09x = 100.78 × 57.50
  4. Step 4: Simplify right side
    73.09x = 5,794.06
  5. Step 5: Solve for x
    x = 5,794.06/73.09
  6. Step 6: Final answer
    x = 79.28

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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.