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Finding the Fourth Proportional to 52.11, 77.62 and 49

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Solution

The fourth proportional to 52.11, 77.62 and 49 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.11 : 77.62 = 49 : x
  2. Step 2: Convert to fraction form
    52.11/77.62 = 49/x
  3. Step 3: Cross multiply
    52.11x = 77.62 × 49
  4. Step 4: Simplify right side
    52.11x = 3,803.38
  5. Step 5: Solve for x
    x = 3,803.38/52.11
  6. Step 6: Final answer
    x = 72.99

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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.