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Finding the Fourth Proportional to 52.04, 77.76 and 50.22

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Solution

The fourth proportional to 52.04, 77.76 and 50.22 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 77.76 = 50.22 : x
  2. Step 2: Convert to fraction form
    52.04/77.76 = 50.22/x
  3. Step 3: Cross multiply
    52.04x = 77.76 × 50.22
  4. Step 4: Simplify right side
    52.04x = 3,905.11
  5. Step 5: Solve for x
    x = 3,905.11/52.04
  6. Step 6: Final answer
    x = 75.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.