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Finding the Fourth Proportional to 74.57, 102.80 and 50.00

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Solution

The fourth proportional to 74.57, 102.80 and 50.00 is: 68.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.57 : 102.80 = 50.00 : x
  2. Step 2: Convert to fraction form
    74.57/102.80 = 50.00/x
  3. Step 3: Cross multiply
    74.57x = 102.80 × 50.00
  4. Step 4: Simplify right side
    74.57x = 5,139.61
  5. Step 5: Solve for x
    x = 5,139.61/74.57
  6. Step 6: Final answer
    x = 68.93

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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.