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Finding the Fourth Proportional to 52.66, 79.01 and 50.69

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Solution

The fourth proportional to 52.66, 79.01 and 50.69 is: 76.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.66 : 79.01 = 50.69 : x
  2. Step 2: Convert to fraction form
    52.66/79.01 = 50.69/x
  3. Step 3: Cross multiply
    52.66x = 79.01 × 50.69
  4. Step 4: Simplify right side
    52.66x = 4,005.02
  5. Step 5: Solve for x
    x = 4,005.02/52.66
  6. Step 6: Final answer
    x = 76.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.